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Finding the Fourth Proportional to 32,407.25, 48,610.88 and 10,519.25

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Solution

The fourth proportional to 32,407.25, 48,610.88 and 10,519.25 is: 15,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.25 : 48,610.88 = 10,519.25 : x
  2. Step 2: Convert to fraction form
    32,407.25/48,610.88 = 10,519.25/x
  3. Step 3: Cross multiply
    32,407.25x = 48,610.88 × 10,519.25
  4. Step 4: Simplify right side
    32,407.25x = 511,349,999.44
  5. Step 5: Solve for x
    x = 511,349,999.44/32,407.25
  6. Step 6: Final answer
    x = 15,778.88

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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.