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Finding the Fourth Proportional to 40,089.38, 55,323.50 and 24,174.50

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Solution

The fourth proportional to 40,089.38, 55,323.50 and 24,174.50 is: 33,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,089.38 : 55,323.50 = 24,174.50 : x
  2. Step 2: Convert to fraction form
    40,089.38/55,323.50 = 24,174.50/x
  3. Step 3: Cross multiply
    40,089.38x = 55,323.50 × 24,174.50
  4. Step 4: Simplify right side
    40,089.38x = 1,337,417,553.26
  5. Step 5: Solve for x
    x = 1,337,417,553.26/40,089.38
  6. Step 6: Final answer
    x = 33,360.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.