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Finding the Fourth Proportional to 92,042.42, 137,976.14 and 58,668.80

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Solution

The fourth proportional to 92,042.42, 137,976.14 and 58,668.80 is: 87,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,042.42 : 137,976.14 = 58,668.80 : x
  2. Step 2: Convert to fraction form
    92,042.42/137,976.14 = 58,668.80/x
  3. Step 3: Cross multiply
    92,042.42x = 137,976.14 × 58,668.80
  4. Step 4: Simplify right side
    92,042.42x = 8,094,894,562.43
  5. Step 5: Solve for x
    x = 8,094,894,562.43/92,042.42
  6. Step 6: Final answer
    x = 87,947.43

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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.