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Finding the Fourth Proportional to 27,832,004.85, 41,748,007.28 and 27,832,004.85

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Solution

The fourth proportional to 27,832,004.85, 41,748,007.28 and 27,832,004.85 is: 41,748,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832,004.85 : 41,748,007.28 = 27,832,004.85 : x
  2. Step 2: Convert to fraction form
    27,832,004.85/41,748,007.28 = 27,832,004.85/x
  3. Step 3: Cross multiply
    27,832,004.85x = 41,748,007.28 × 27,832,004.85
  4. Step 4: Simplify right side
    27,832,004.85x = 1,161,930,741,094,795.50
  5. Step 5: Solve for x
    x = 1,161,930,741,094,795.50/27,832,004.85
  6. Step 6: Final answer
    x = 41,748,007.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.