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Finding the Fourth Proportional to 90,614.70, 135,905.04 and 38,024.64

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Solution

The fourth proportional to 90,614.70, 135,905.04 and 38,024.64 is: 57,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,614.70 : 135,905.04 = 38,024.64 : x
  2. Step 2: Convert to fraction form
    90,614.70/135,905.04 = 38,024.64/x
  3. Step 3: Cross multiply
    90,614.70x = 135,905.04 × 38,024.64
  4. Step 4: Simplify right side
    90,614.70x = 5,167,740,220.19
  5. Step 5: Solve for x
    x = 5,167,740,220.19/90,614.70
  6. Step 6: Final answer
    x = 57,029.82

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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.