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Finding the Fourth Proportional to 32,006.88, 47,690.24 and 28,514.97

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Solution

The fourth proportional to 32,006.88, 47,690.24 and 28,514.97 is: 42,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.88 : 47,690.24 = 28,514.97 : x
  2. Step 2: Convert to fraction form
    32,006.88/47,690.24 = 28,514.97/x
  3. Step 3: Cross multiply
    32,006.88x = 47,690.24 × 28,514.97
  4. Step 4: Simplify right side
    32,006.88x = 1,359,885,620.32
  5. Step 5: Solve for x
    x = 1,359,885,620.32/32,006.88
  6. Step 6: Final answer
    x = 42,487.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.