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Finding the Fourth Proportional to 108,283.41, 149,432.05 and 59,882.82

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Solution

The fourth proportional to 108,283.41, 149,432.05 and 59,882.82 is: 82,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,283.41 : 149,432.05 = 59,882.82 : x
  2. Step 2: Convert to fraction form
    108,283.41/149,432.05 = 59,882.82/x
  3. Step 3: Cross multiply
    108,283.41x = 149,432.05 × 59,882.82
  4. Step 4: Simplify right side
    108,283.41x = 8,948,412,552.38
  5. Step 5: Solve for x
    x = 8,948,412,552.38/108,283.41
  6. Step 6: Final answer
    x = 82,638.81

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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.