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Finding the Fourth Proportional to 37,673.28, 51,983.82 and 22,562.40

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Solution

The fourth proportional to 37,673.28, 51,983.82 and 22,562.40 is: 31,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,673.28 : 51,983.82 = 22,562.40 : x
  2. Step 2: Convert to fraction form
    37,673.28/51,983.82 = 22,562.40/x
  3. Step 3: Cross multiply
    37,673.28x = 51,983.82 × 22,562.40
  4. Step 4: Simplify right side
    37,673.28x = 1,172,879,740.37
  5. Step 5: Solve for x
    x = 1,172,879,740.37/37,673.28
  6. Step 6: Final answer
    x = 31,132.93

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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.