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Finding the Fourth Proportional to 37,606.38, 56,411.13 and 31,020.30

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Solution

The fourth proportional to 37,606.38, 56,411.13 and 31,020.30 is: 46,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,606.38 : 56,411.13 = 31,020.30 : x
  2. Step 2: Convert to fraction form
    37,606.38/56,411.13 = 31,020.30/x
  3. Step 3: Cross multiply
    37,606.38x = 56,411.13 × 31,020.30
  4. Step 4: Simplify right side
    37,606.38x = 1,749,890,175.94
  5. Step 5: Solve for x
    x = 1,749,890,175.94/37,606.38
  6. Step 6: Final answer
    x = 46,531.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.