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Finding the Fourth Proportional to 41,123.76, 56,691.36 and 26,952

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Solution

The fourth proportional to 41,123.76, 56,691.36 and 26,952 is: 37,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,123.76 : 56,691.36 = 26,952 : x
  2. Step 2: Convert to fraction form
    41,123.76/56,691.36 = 26,952/x
  3. Step 3: Cross multiply
    41,123.76x = 56,691.36 × 26,952
  4. Step 4: Simplify right side
    41,123.76x = 1,527,945,534.72
  5. Step 5: Solve for x
    x = 1,527,945,534.72/41,123.76
  6. Step 6: Final answer
    x = 37,154.81

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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.