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Finding the Fourth Proportional to 41,123.78, 61,686.03 and 9,959.06

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Solution

The fourth proportional to 41,123.78, 61,686.03 and 9,959.06 is: 14,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,123.78 : 61,686.03 = 9,959.06 : x
  2. Step 2: Convert to fraction form
    41,123.78/61,686.03 = 9,959.06/x
  3. Step 3: Cross multiply
    41,123.78x = 61,686.03 × 9,959.06
  4. Step 4: Simplify right side
    41,123.78x = 614,334,873.93
  5. Step 5: Solve for x
    x = 614,334,873.93/41,123.78
  6. Step 6: Final answer
    x = 14,938.68

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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.