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Finding the Fourth Proportional to 65,145.68, 89,778.16 and 52,210.24

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Solution

The fourth proportional to 65,145.68, 89,778.16 and 52,210.24 is: 71,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,145.68 : 89,778.16 = 52,210.24 : x
  2. Step 2: Convert to fraction form
    65,145.68/89,778.16 = 52,210.24/x
  3. Step 3: Cross multiply
    65,145.68x = 89,778.16 × 52,210.24
  4. Step 4: Simplify right side
    65,145.68x = 4,687,339,280.36
  5. Step 5: Solve for x
    x = 4,687,339,280.36/65,145.68
  6. Step 6: Final answer
    x = 71,951.65

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