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Finding the Fourth Proportional to 32,781.85, 49,172.70 and 14,049.74

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Solution

The fourth proportional to 32,781.85, 49,172.70 and 14,049.74 is: 21,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.85 : 49,172.70 = 14,049.74 : x
  2. Step 2: Convert to fraction form
    32,781.85/49,172.70 = 14,049.74/x
  3. Step 3: Cross multiply
    32,781.85x = 49,172.70 × 14,049.74
  4. Step 4: Simplify right side
    32,781.85x = 690,863,430.58
  5. Step 5: Solve for x
    x = 690,863,430.58/32,781.85
  6. Step 6: Final answer
    x = 21,074.57

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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.