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Finding the Fourth Proportional to 42,506.38, 58,658.01 and 29,077.18

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Solution

The fourth proportional to 42,506.38, 58,658.01 and 29,077.18 is: 40,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506.38 : 58,658.01 = 29,077.18 : x
  2. Step 2: Convert to fraction form
    42,506.38/58,658.01 = 29,077.18/x
  3. Step 3: Cross multiply
    42,506.38x = 58,658.01 × 29,077.18
  4. Step 4: Simplify right side
    42,506.38x = 1,705,609,515.21
  5. Step 5: Solve for x
    x = 1,705,609,515.21/42,506.38
  6. Step 6: Final answer
    x = 40,125.96

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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.