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Finding the Fourth Proportional to 32,112.60, 48,177.79 and 13,401.45

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Solution

The fourth proportional to 32,112.60, 48,177.79 and 13,401.45 is: 20,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112.60 : 48,177.79 = 13,401.45 : x
  2. Step 2: Convert to fraction form
    32,112.60/48,177.79 = 13,401.45/x
  3. Step 3: Cross multiply
    32,112.60x = 48,177.79 × 13,401.45
  4. Step 4: Simplify right side
    32,112.60x = 645,652,210.29
  5. Step 5: Solve for x
    x = 645,652,210.29/32,112.60
  6. Step 6: Final answer
    x = 20,105.88

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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.