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Finding the Fourth Proportional to 32,375.40, 48,534.31 and 12,649.47

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Solution

The fourth proportional to 32,375.40, 48,534.31 and 12,649.47 is: 18,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.40 : 48,534.31 = 12,649.47 : x
  2. Step 2: Convert to fraction form
    32,375.40/48,534.31 = 12,649.47/x
  3. Step 3: Cross multiply
    32,375.40x = 48,534.31 × 12,649.47
  4. Step 4: Simplify right side
    32,375.40x = 613,933,298.32
  5. Step 5: Solve for x
    x = 613,933,298.32/32,375.40
  6. Step 6: Final answer
    x = 18,962.96

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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.