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Finding the Fourth Proportional to 98,225.30, 135,567.17 and 57,948.92

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Solution

The fourth proportional to 98,225.30, 135,567.17 and 57,948.92 is: 79,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,225.30 : 135,567.17 = 57,948.92 : x
  2. Step 2: Convert to fraction form
    98,225.30/135,567.17 = 57,948.92/x
  3. Step 3: Cross multiply
    98,225.30x = 135,567.17 × 57,948.92
  4. Step 4: Simplify right side
    98,225.30x = 7,855,970,121.38
  5. Step 5: Solve for x
    x = 7,855,970,121.38/98,225.30
  6. Step 6: Final answer
    x = 79,979.09

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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.