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Finding the Fourth Proportional to 65,930.77, 98,866.50 and 39,289.24

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Solution

The fourth proportional to 65,930.77, 98,866.50 and 39,289.24 is: 58,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,930.77 : 98,866.50 = 39,289.24 : x
  2. Step 2: Convert to fraction form
    65,930.77/98,866.50 = 39,289.24/x
  3. Step 3: Cross multiply
    65,930.77x = 98,866.50 × 39,289.24
  4. Step 4: Simplify right side
    65,930.77x = 3,884,389,646.46
  5. Step 5: Solve for x
    x = 3,884,389,646.46/65,930.77
  6. Step 6: Final answer
    x = 58,916.19

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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.