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Finding the Fourth Proportional to 97,224.30, 145,872.90 and 38,102.40

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Solution

The fourth proportional to 97,224.30, 145,872.90 and 38,102.40 is: 57,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,224.30 : 145,872.90 = 38,102.40 : x
  2. Step 2: Convert to fraction form
    97,224.30/145,872.90 = 38,102.40/x
  3. Step 3: Cross multiply
    97,224.30x = 145,872.90 × 38,102.40
  4. Step 4: Simplify right side
    97,224.30x = 5,558,107,584.96
  5. Step 5: Solve for x
    x = 5,558,107,584.96/97,224.30
  6. Step 6: Final answer
    x = 57,167.88

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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.