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Finding the Fourth Proportional to 32,165.40, 48,259.05 and 20,305.38

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Solution

The fourth proportional to 32,165.40, 48,259.05 and 20,305.38 is: 30,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.40 : 48,259.05 = 20,305.38 : x
  2. Step 2: Convert to fraction form
    32,165.40/48,259.05 = 20,305.38/x
  3. Step 3: Cross multiply
    32,165.40x = 48,259.05 × 20,305.38
  4. Step 4: Simplify right side
    32,165.40x = 979,918,348.69
  5. Step 5: Solve for x
    x = 979,918,348.69/32,165.40
  6. Step 6: Final answer
    x = 30,464.98

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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.