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Finding the Fourth Proportional to 52,237.14, 72,087.52 and 28,363.80

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Solution

The fourth proportional to 52,237.14, 72,087.52 and 28,363.80 is: 39,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,237.14 : 72,087.52 = 28,363.80 : x
  2. Step 2: Convert to fraction form
    52,237.14/72,087.52 = 28,363.80/x
  3. Step 3: Cross multiply
    52,237.14x = 72,087.52 × 28,363.80
  4. Step 4: Simplify right side
    52,237.14x = 2,044,676,252.38
  5. Step 5: Solve for x
    x = 2,044,676,252.38/52,237.14
  6. Step 6: Final answer
    x = 39,142.20

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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.