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Finding the Fourth Proportional to 32,101.48, 48,171.36 and 14,330.76

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Solution

The fourth proportional to 32,101.48, 48,171.36 and 14,330.76 is: 21,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.48 : 48,171.36 = 14,330.76 : x
  2. Step 2: Convert to fraction form
    32,101.48/48,171.36 = 14,330.76/x
  3. Step 3: Cross multiply
    32,101.48x = 48,171.36 × 14,330.76
  4. Step 4: Simplify right side
    32,101.48x = 690,332,199.03
  5. Step 5: Solve for x
    x = 690,332,199.03/32,101.48
  6. Step 6: Final answer
    x = 21,504.68

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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.