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Finding the Fourth Proportional to 32,142.98, 48,217.65 and 13,428.86

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Solution

The fourth proportional to 32,142.98, 48,217.65 and 13,428.86 is: 20,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.98 : 48,217.65 = 13,428.86 : x
  2. Step 2: Convert to fraction form
    32,142.98/48,217.65 = 13,428.86/x
  3. Step 3: Cross multiply
    32,142.98x = 48,217.65 × 13,428.86
  4. Step 4: Simplify right side
    32,142.98x = 647,508,300.07
  5. Step 5: Solve for x
    x = 647,508,300.07/32,142.98
  6. Step 6: Final answer
    x = 20,144.63

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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.