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Finding the Fourth Proportional to 31,549.50, 47,340.45 and 15,967.53

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Solution

The fourth proportional to 31,549.50, 47,340.45 and 15,967.53 is: 23,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.50 : 47,340.45 = 15,967.53 : x
  2. Step 2: Convert to fraction form
    31,549.50/47,340.45 = 15,967.53/x
  3. Step 3: Cross multiply
    31,549.50x = 47,340.45 × 15,967.53
  4. Step 4: Simplify right side
    31,549.50x = 755,910,055.59
  5. Step 5: Solve for x
    x = 755,910,055.59/31,549.50
  6. Step 6: Final answer
    x = 23,959.49

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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.