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Finding the Fourth Proportional to 32,177.58, 48,266.40 and 13,447.36

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Solution

The fourth proportional to 32,177.58, 48,266.40 and 13,447.36 is: 20,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.58 : 48,266.40 = 13,447.36 : x
  2. Step 2: Convert to fraction form
    32,177.58/48,266.40 = 13,447.36/x
  3. Step 3: Cross multiply
    32,177.58x = 48,266.40 × 13,447.36
  4. Step 4: Simplify right side
    32,177.58x = 649,055,589.47
  5. Step 5: Solve for x
    x = 649,055,589.47/32,177.58
  6. Step 6: Final answer
    x = 20,171.05

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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.