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Finding the Fourth Proportional to 37,532.08, 51,689.10 and 31,187.08

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Solution

The fourth proportional to 37,532.08, 51,689.10 and 31,187.08 is: 42,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,532.08 : 51,689.10 = 31,187.08 : x
  2. Step 2: Convert to fraction form
    37,532.08/51,689.10 = 31,187.08/x
  3. Step 3: Cross multiply
    37,532.08x = 51,689.10 × 31,187.08
  4. Step 4: Simplify right side
    37,532.08x = 1,612,032,096.83
  5. Step 5: Solve for x
    x = 1,612,032,096.83/37,532.08
  6. Step 6: Final answer
    x = 42,950.78

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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.