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Finding the Fourth Proportional to 52,051.71, 71,831.38 and 28,178.38

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Solution

The fourth proportional to 52,051.71, 71,831.38 and 28,178.38 is: 38,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.71 : 71,831.38 = 28,178.38 : x
  2. Step 2: Convert to fraction form
    52,051.71/71,831.38 = 28,178.38/x
  3. Step 3: Cross multiply
    52,051.71x = 71,831.38 × 28,178.38
  4. Step 4: Simplify right side
    52,051.71x = 2,024,092,046.58
  5. Step 5: Solve for x
    x = 2,024,092,046.58/52,051.71
  6. Step 6: Final answer
    x = 38,886.18

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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.