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Finding the Fourth Proportional to 59,831.46, 82,563.71 and 32,972.47

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Solution

The fourth proportional to 59,831.46, 82,563.71 and 32,972.47 is: 45,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,831.46 : 82,563.71 = 32,972.47 : x
  2. Step 2: Convert to fraction form
    59,831.46/82,563.71 = 32,972.47/x
  3. Step 3: Cross multiply
    59,831.46x = 82,563.71 × 32,972.47
  4. Step 4: Simplify right side
    59,831.46x = 2,722,329,079.79
  5. Step 5: Solve for x
    x = 2,722,329,079.79/59,831.46
  6. Step 6: Final answer
    x = 45,499.96

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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.