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Finding the Fourth Proportional to 31,416.42, 47,123.42 and 10,639.92

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Solution

The fourth proportional to 31,416.42, 47,123.42 and 10,639.92 is: 15,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416.42 : 47,123.42 = 10,639.92 : x
  2. Step 2: Convert to fraction form
    31,416.42/47,123.42 = 10,639.92/x
  3. Step 3: Cross multiply
    31,416.42x = 47,123.42 × 10,639.92
  4. Step 4: Simplify right side
    31,416.42x = 501,389,418.93
  5. Step 5: Solve for x
    x = 501,389,418.93/31,416.42
  6. Step 6: Final answer
    x = 15,959.47

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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.