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Finding the Fourth Proportional to 31,780, 47,683.22 and 14,001.56

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Solution

The fourth proportional to 31,780, 47,683.22 and 14,001.56 is: 21,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780 : 47,683.22 = 14,001.56 : x
  2. Step 2: Convert to fraction form
    31,780/47,683.22 = 14,001.56/x
  3. Step 3: Cross multiply
    31,780x = 47,683.22 × 14,001.56
  4. Step 4: Simplify right side
    31,780x = 667,639,465.82
  5. Step 5: Solve for x
    x = 667,639,465.82/31,780
  6. Step 6: Final answer
    x = 21,008.16

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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.