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Finding the Fourth Proportional to 31,772.34, 47,644.65 and 10,708.46

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Solution

The fourth proportional to 31,772.34, 47,644.65 and 10,708.46 is: 16,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.34 : 47,644.65 = 10,708.46 : x
  2. Step 2: Convert to fraction form
    31,772.34/47,644.65 = 10,708.46/x
  3. Step 3: Cross multiply
    31,772.34x = 47,644.65 × 10,708.46
  4. Step 4: Simplify right side
    31,772.34x = 510,200,828.74
  5. Step 5: Solve for x
    x = 510,200,828.74/31,772.34
  6. Step 6: Final answer
    x = 16,058.02

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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.