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Finding the Fourth Proportional to 27,832,006.35, 41,748,009.53 and 27,832,006.35

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Solution

The fourth proportional to 27,832,006.35, 41,748,009.53 and 27,832,006.35 is: 41,748,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832,006.35 : 41,748,009.53 = 27,832,006.35 : x
  2. Step 2: Convert to fraction form
    27,832,006.35/41,748,009.53 = 27,832,006.35/x
  3. Step 3: Cross multiply
    27,832,006.35x = 41,748,009.53 × 27,832,006.35
  4. Step 4: Simplify right side
    27,832,006.35x = 1,161,930,866,338,820.50
  5. Step 5: Solve for x
    x = 1,161,930,866,338,820.50/27,832,006.35
  6. Step 6: Final answer
    x = 41,748,009.53

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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.