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Finding the Fourth Proportional to 32,145.56, 48,202.52 and 13,419.98

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Solution

The fourth proportional to 32,145.56, 48,202.52 and 13,419.98 is: 20,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.56 : 48,202.52 = 13,419.98 : x
  2. Step 2: Convert to fraction form
    32,145.56/48,202.52 = 13,419.98/x
  3. Step 3: Cross multiply
    32,145.56x = 48,202.52 × 13,419.98
  4. Step 4: Simplify right side
    32,145.56x = 646,876,854.35
  5. Step 5: Solve for x
    x = 646,876,854.35/32,145.56
  6. Step 6: Final answer
    x = 20,123.37

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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.