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Finding the Fourth Proportional to 78,679.92, 108,576.92 and 42,870.23

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Solution

The fourth proportional to 78,679.92, 108,576.92 and 42,870.23 is: 59,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,679.92 : 108,576.92 = 42,870.23 : x
  2. Step 2: Convert to fraction form
    78,679.92/108,576.92 = 42,870.23/x
  3. Step 3: Cross multiply
    78,679.92x = 108,576.92 × 42,870.23
  4. Step 4: Simplify right side
    78,679.92x = 4,654,717,097.38
  5. Step 5: Solve for x
    x = 4,654,717,097.38/78,679.92
  6. Step 6: Final answer
    x = 59,160.17

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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.