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Finding the Fourth Proportional to 51,831.69, 71,528.03 and 29,171.13

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Solution

The fourth proportional to 51,831.69, 71,528.03 and 29,171.13 is: 40,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,831.69 : 71,528.03 = 29,171.13 : x
  2. Step 2: Convert to fraction form
    51,831.69/71,528.03 = 29,171.13/x
  3. Step 3: Cross multiply
    51,831.69x = 71,528.03 × 29,171.13
  4. Step 4: Simplify right side
    51,831.69x = 2,086,553,461.77
  5. Step 5: Solve for x
    x = 2,086,553,461.77/51,831.69
  6. Step 6: Final answer
    x = 40,256.33

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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.