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Finding the Fourth Proportional to 101,952.18, 152,928.41 and 38,757.47

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Solution

The fourth proportional to 101,952.18, 152,928.41 and 38,757.47 is: 58,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952.18 : 152,928.41 = 38,757.47 : x
  2. Step 2: Convert to fraction form
    101,952.18/152,928.41 = 38,757.47/x
  3. Step 3: Cross multiply
    101,952.18x = 152,928.41 × 38,757.47
  4. Step 4: Simplify right side
    101,952.18x = 5,927,117,304.29
  5. Step 5: Solve for x
    x = 5,927,117,304.29/101,952.18
  6. Step 6: Final answer
    x = 58,136.25

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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.