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Finding the Fourth Proportional to 41,869.74, 57,781.98 and 23,007

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Solution

The fourth proportional to 41,869.74, 57,781.98 and 23,007 is: 31,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,869.74 : 57,781.98 = 23,007 : x
  2. Step 2: Convert to fraction form
    41,869.74/57,781.98 = 23,007/x
  3. Step 3: Cross multiply
    41,869.74x = 57,781.98 × 23,007
  4. Step 4: Simplify right side
    41,869.74x = 1,329,390,013.86
  5. Step 5: Solve for x
    x = 1,329,390,013.86/41,869.74
  6. Step 6: Final answer
    x = 31,750.62

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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.