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Finding the Fourth Proportional to 108,498, 162,747.96 and 38,389.20

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Solution

The fourth proportional to 108,498, 162,747.96 and 38,389.20 is: 57,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,498 : 162,747.96 = 38,389.20 : x
  2. Step 2: Convert to fraction form
    108,498/162,747.96 = 38,389.20/x
  3. Step 3: Cross multiply
    108,498x = 162,747.96 × 38,389.20
  4. Step 4: Simplify right side
    108,498x = 6,247,763,986.03
  5. Step 5: Solve for x
    x = 6,247,763,986.03/108,498
  6. Step 6: Final answer
    x = 57,584.14

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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.