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Finding the Fourth Proportional to 73,312.98, 109,947.52 and 38,233.50

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Solution

The fourth proportional to 73,312.98, 109,947.52 and 38,233.50 is: 57,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,312.98 : 109,947.52 = 38,233.50 : x
  2. Step 2: Convert to fraction form
    73,312.98/109,947.52 = 38,233.50/x
  3. Step 3: Cross multiply
    73,312.98x = 109,947.52 × 38,233.50
  4. Step 4: Simplify right side
    73,312.98x = 4,203,678,505.92
  5. Step 5: Solve for x
    x = 4,203,678,505.92/73,312.98
  6. Step 6: Final answer
    x = 57,338.80

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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.