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Finding the Fourth Proportional to 42,613.50, 58,745.15 and 29,827.11

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Solution

The fourth proportional to 42,613.50, 58,745.15 and 29,827.11 is: 41,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,613.50 : 58,745.15 = 29,827.11 : x
  2. Step 2: Convert to fraction form
    42,613.50/58,745.15 = 29,827.11/x
  3. Step 3: Cross multiply
    42,613.50x = 58,745.15 × 29,827.11
  4. Step 4: Simplify right side
    42,613.50x = 1,752,197,901.88
  5. Step 5: Solve for x
    x = 1,752,197,901.88/42,613.50
  6. Step 6: Final answer
    x = 41,118.38

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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.