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Finding the Fourth Proportional to 65,092.50, 97,565.31 and 35,500.50

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Solution

The fourth proportional to 65,092.50, 97,565.31 and 35,500.50 is: 53,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.50 : 97,565.31 = 35,500.50 : x
  2. Step 2: Convert to fraction form
    65,092.50/97,565.31 = 35,500.50/x
  3. Step 3: Cross multiply
    65,092.50x = 97,565.31 × 35,500.50
  4. Step 4: Simplify right side
    65,092.50x = 3,463,617,287.66
  5. Step 5: Solve for x
    x = 3,463,617,287.66/65,092.50
  6. Step 6: Final answer
    x = 53,210.70

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