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Finding the Fourth Proportional to 42,006.76, 57,967.66 and 22,886.69

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Solution

The fourth proportional to 42,006.76, 57,967.66 and 22,886.69 is: 31,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,006.76 : 57,967.66 = 22,886.69 : x
  2. Step 2: Convert to fraction form
    42,006.76/57,967.66 = 22,886.69/x
  3. Step 3: Cross multiply
    42,006.76x = 57,967.66 × 22,886.69
  4. Step 4: Simplify right side
    42,006.76x = 1,326,687,517.39
  5. Step 5: Solve for x
    x = 1,326,687,517.39/42,006.76
  6. Step 6: Final answer
    x = 31,582.72

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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.