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Finding the Fourth Proportional to 32,139.74, 48,139.42 and 13,362.84

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Solution

The fourth proportional to 32,139.74, 48,139.42 and 13,362.84 is: 20,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,139.74 : 48,139.42 = 13,362.84 : x
  2. Step 2: Convert to fraction form
    32,139.74/48,139.42 = 13,362.84/x
  3. Step 3: Cross multiply
    32,139.74x = 48,139.42 × 13,362.84
  4. Step 4: Simplify right side
    32,139.74x = 643,279,367.15
  5. Step 5: Solve for x
    x = 643,279,367.15/32,139.74
  6. Step 6: Final answer
    x = 20,015.08

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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.