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Finding the Fourth Proportional to 52,081.41, 71,876.76 and 29,424.56

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Solution

The fourth proportional to 52,081.41, 71,876.76 and 29,424.56 is: 40,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,081.41 : 71,876.76 = 29,424.56 : x
  2. Step 2: Convert to fraction form
    52,081.41/71,876.76 = 29,424.56/x
  3. Step 3: Cross multiply
    52,081.41x = 71,876.76 × 29,424.56
  4. Step 4: Simplify right side
    52,081.41x = 2,114,941,677.84
  5. Step 5: Solve for x
    x = 2,114,941,677.84/52,081.41
  6. Step 6: Final answer
    x = 40,608.38

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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.