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Finding the Fourth Proportional to 52,681.20, 78,829.80 and 38,857.20

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Solution

The fourth proportional to 52,681.20, 78,829.80 and 38,857.20 is: 58,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,681.20 : 78,829.80 = 38,857.20 : x
  2. Step 2: Convert to fraction form
    52,681.20/78,829.80 = 38,857.20/x
  3. Step 3: Cross multiply
    52,681.20x = 78,829.80 × 38,857.20
  4. Step 4: Simplify right side
    52,681.20x = 3,063,105,304.56
  5. Step 5: Solve for x
    x = 3,063,105,304.56/52,681.20
  6. Step 6: Final answer
    x = 58,144.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.