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Finding the Fourth Proportional to 41,978.17, 57,931.29 and 22,858.68

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Solution

The fourth proportional to 41,978.17, 57,931.29 and 22,858.68 is: 31,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.17 : 57,931.29 = 22,858.68 : x
  2. Step 2: Convert to fraction form
    41,978.17/57,931.29 = 22,858.68/x
  3. Step 3: Cross multiply
    41,978.17x = 57,931.29 × 22,858.68
  4. Step 4: Simplify right side
    41,978.17x = 1,324,233,037.34
  5. Step 5: Solve for x
    x = 1,324,233,037.34/41,978.17
  6. Step 6: Final answer
    x = 31,545.75

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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.