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Finding the Fourth Proportional to 31,127.49, 42,847.92 and 23,560.47

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Solution

The fourth proportional to 31,127.49, 42,847.92 and 23,560.47 is: 32,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,127.49 : 42,847.92 = 23,560.47 : x
  2. Step 2: Convert to fraction form
    31,127.49/42,847.92 = 23,560.47/x
  3. Step 3: Cross multiply
    31,127.49x = 42,847.92 × 23,560.47
  4. Step 4: Simplify right side
    31,127.49x = 1,009,517,133.72
  5. Step 5: Solve for x
    x = 1,009,517,133.72/31,127.49
  6. Step 6: Final answer
    x = 32,431.69

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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.