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Finding the Fourth Proportional to 37,807.97, 56,753.87 and 31,957.54

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Solution

The fourth proportional to 37,807.97, 56,753.87 and 31,957.54 is: 47,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807.97 : 56,753.87 = 31,957.54 : x
  2. Step 2: Convert to fraction form
    37,807.97/56,753.87 = 31,957.54/x
  3. Step 3: Cross multiply
    37,807.97x = 56,753.87 × 31,957.54
  4. Step 4: Simplify right side
    37,807.97x = 1,813,713,769.01
  5. Step 5: Solve for x
    x = 1,813,713,769.01/37,807.97
  6. Step 6: Final answer
    x = 47,971.74

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Why These Related Problems?

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