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Finding the Fourth Proportional to 37,057.71, 51,139.15 and 21,142.42

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Solution

The fourth proportional to 37,057.71, 51,139.15 and 21,142.42 is: 29,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,057.71 : 51,139.15 = 21,142.42 : x
  2. Step 2: Convert to fraction form
    37,057.71/51,139.15 = 21,142.42/x
  3. Step 3: Cross multiply
    37,057.71x = 51,139.15 × 21,142.42
  4. Step 4: Simplify right side
    37,057.71x = 1,081,205,387.74
  5. Step 5: Solve for x
    x = 1,081,205,387.74/37,057.71
  6. Step 6: Final answer
    x = 29,176.26

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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.