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Finding the Fourth Proportional to 37,542.00, 51,802.84 and 22,431.47

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Solution

The fourth proportional to 37,542.00, 51,802.84 and 22,431.47 is: 30,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542.00 : 51,802.84 = 22,431.47 : x
  2. Step 2: Convert to fraction form
    37,542.00/51,802.84 = 22,431.47/x
  3. Step 3: Cross multiply
    37,542.00x = 51,802.84 × 22,431.47
  4. Step 4: Simplify right side
    37,542.00x = 1,162,013,480.20
  5. Step 5: Solve for x
    x = 1,162,013,480.20/37,542.00
  6. Step 6: Final answer
    x = 30,952.36

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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.