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Finding the Fourth Proportional to 71,645.76, 98,865.54 and 39,812.76

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Solution

The fourth proportional to 71,645.76, 98,865.54 and 39,812.76 is: 54,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,645.76 : 98,865.54 = 39,812.76 : x
  2. Step 2: Convert to fraction form
    71,645.76/98,865.54 = 39,812.76/x
  3. Step 3: Cross multiply
    71,645.76x = 98,865.54 × 39,812.76
  4. Step 4: Simplify right side
    71,645.76x = 3,936,110,016.29
  5. Step 5: Solve for x
    x = 3,936,110,016.29/71,645.76
  6. Step 6: Final answer
    x = 54,938.49

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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.