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Finding the Fourth Proportional to 74,381.76, 111,567 and 24,463.48

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Solution

The fourth proportional to 74,381.76, 111,567 and 24,463.48 is: 36,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,381.76 : 111,567 = 24,463.48 : x
  2. Step 2: Convert to fraction form
    74,381.76/111,567 = 24,463.48/x
  3. Step 3: Cross multiply
    74,381.76x = 111,567 × 24,463.48
  4. Step 4: Simplify right side
    74,381.76x = 2,729,317,073.16
  5. Step 5: Solve for x
    x = 2,729,317,073.16/74,381.76
  6. Step 6: Final answer
    x = 36,693.37

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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.