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Finding the Fourth Proportional to 71,490.06, 107,247.24 and 24,732

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Solution

The fourth proportional to 71,490.06, 107,247.24 and 24,732 is: 37,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,490.06 : 107,247.24 = 24,732 : x
  2. Step 2: Convert to fraction form
    71,490.06/107,247.24 = 24,732/x
  3. Step 3: Cross multiply
    71,490.06x = 107,247.24 × 24,732
  4. Step 4: Simplify right side
    71,490.06x = 2,652,438,739.68
  5. Step 5: Solve for x
    x = 2,652,438,739.68/71,490.06
  6. Step 6: Final answer
    x = 37,102.20

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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.