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Finding the Fourth Proportional to 41,871.68, 57,780.78 and 23,005.16

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Solution

The fourth proportional to 41,871.68, 57,780.78 and 23,005.16 is: 31,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,871.68 : 57,780.78 = 23,005.16 : x
  2. Step 2: Convert to fraction form
    41,871.68/57,780.78 = 23,005.16/x
  3. Step 3: Cross multiply
    41,871.68x = 57,780.78 × 23,005.16
  4. Step 4: Simplify right side
    41,871.68x = 1,329,256,088.82
  5. Step 5: Solve for x
    x = 1,329,256,088.82/41,871.68
  6. Step 6: Final answer
    x = 31,745.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.