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Finding the Fourth Proportional to 47,104.96, 65,004.64 and 26,961.76

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Solution

The fourth proportional to 47,104.96, 65,004.64 and 26,961.76 is: 37,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,104.96 : 65,004.64 = 26,961.76 : x
  2. Step 2: Convert to fraction form
    47,104.96/65,004.64 = 26,961.76/x
  3. Step 3: Cross multiply
    47,104.96x = 65,004.64 × 26,961.76
  4. Step 4: Simplify right side
    47,104.96x = 1,752,639,502.57
  5. Step 5: Solve for x
    x = 1,752,639,502.57/47,104.96
  6. Step 6: Final answer
    x = 37,207.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.