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Finding the Fourth Proportional to 31,781.84, 47,679.60 and 10,722.40

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Solution

The fourth proportional to 31,781.84, 47,679.60 and 10,722.40 is: 16,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.84 : 47,679.60 = 10,722.40 : x
  2. Step 2: Convert to fraction form
    31,781.84/47,679.60 = 10,722.40/x
  3. Step 3: Cross multiply
    31,781.84x = 47,679.60 × 10,722.40
  4. Step 4: Simplify right side
    31,781.84x = 511,239,743.04
  5. Step 5: Solve for x
    x = 511,239,743.04/31,781.84
  6. Step 6: Final answer
    x = 16,085.91

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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.