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Finding the Fourth Proportional to 32,055.13, 48,082.70 and 13,334.82

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Solution

The fourth proportional to 32,055.13, 48,082.70 and 13,334.82 is: 20,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,055.13 : 48,082.70 = 13,334.82 : x
  2. Step 2: Convert to fraction form
    32,055.13/48,082.70 = 13,334.82/x
  3. Step 3: Cross multiply
    32,055.13x = 48,082.70 × 13,334.82
  4. Step 4: Simplify right side
    32,055.13x = 641,174,149.61
  5. Step 5: Solve for x
    x = 641,174,149.61/32,055.13
  6. Step 6: Final answer
    x = 20,002.23

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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.