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Finding the Fourth Proportional to 32,519.53, 48,773.85 and 9,140.50

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Solution

The fourth proportional to 32,519.53, 48,773.85 and 9,140.50 is: 13,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519.53 : 48,773.85 = 9,140.50 : x
  2. Step 2: Convert to fraction form
    32,519.53/48,773.85 = 9,140.50/x
  3. Step 3: Cross multiply
    32,519.53x = 48,773.85 × 9,140.50
  4. Step 4: Simplify right side
    32,519.53x = 445,817,375.93
  5. Step 5: Solve for x
    x = 445,817,375.93/32,519.53
  6. Step 6: Final answer
    x = 13,709.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.