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Finding the Fourth Proportional to 42,489.38, 63,735.26 and 14,409.50

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Solution

The fourth proportional to 42,489.38, 63,735.26 and 14,409.50 is: 21,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,489.38 : 63,735.26 = 14,409.50 : x
  2. Step 2: Convert to fraction form
    42,489.38/63,735.26 = 14,409.50/x
  3. Step 3: Cross multiply
    42,489.38x = 63,735.26 × 14,409.50
  4. Step 4: Simplify right side
    42,489.38x = 918,393,228.97
  5. Step 5: Solve for x
    x = 918,393,228.97/42,489.38
  6. Step 6: Final answer
    x = 21,614.65

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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.