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Finding the Fourth Proportional to 59,689.20, 82,369.76 and 32,831.12

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Solution

The fourth proportional to 59,689.20, 82,369.76 and 32,831.12 is: 45,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,689.20 : 82,369.76 = 32,831.12 : x
  2. Step 2: Convert to fraction form
    59,689.20/82,369.76 = 32,831.12/x
  3. Step 3: Cross multiply
    59,689.20x = 82,369.76 × 32,831.12
  4. Step 4: Simplify right side
    59,689.20x = 2,704,291,701.38
  5. Step 5: Solve for x
    x = 2,704,291,701.38/59,689.20
  6. Step 6: Final answer
    x = 45,306.21

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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.