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Finding the Fourth Proportional to 32,130.39, 48,191.94 and 20,320.59

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Solution

The fourth proportional to 32,130.39, 48,191.94 and 20,320.59 is: 30,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,130.39 : 48,191.94 = 20,320.59 : x
  2. Step 2: Convert to fraction form
    32,130.39/48,191.94 = 20,320.59/x
  3. Step 3: Cross multiply
    32,130.39x = 48,191.94 × 20,320.59
  4. Step 4: Simplify right side
    32,130.39x = 979,288,654.04
  5. Step 5: Solve for x
    x = 979,288,654.04/32,130.39
  6. Step 6: Final answer
    x = 30,478.58

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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.