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Finding the Fourth Proportional to 108,097.74, 162,223.16 and 37,982.52

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Solution

The fourth proportional to 108,097.74, 162,223.16 and 37,982.52 is: 57,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,097.74 : 162,223.16 = 37,982.52 : x
  2. Step 2: Convert to fraction form
    108,097.74/162,223.16 = 37,982.52/x
  3. Step 3: Cross multiply
    108,097.74x = 162,223.16 × 37,982.52
  4. Step 4: Simplify right side
    108,097.74x = 6,161,644,229.25
  5. Step 5: Solve for x
    x = 6,161,644,229.25/108,097.74
  6. Step 6: Final answer
    x = 57,000.68

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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.