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Finding the Fourth Proportional to 32,049.30, 48,055.32 and 15,401.91

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Solution

The fourth proportional to 32,049.30, 48,055.32 and 15,401.91 is: 23,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.30 : 48,055.32 = 15,401.91 : x
  2. Step 2: Convert to fraction form
    32,049.30/48,055.32 = 15,401.91/x
  3. Step 3: Cross multiply
    32,049.30x = 48,055.32 × 15,401.91
  4. Step 4: Simplify right side
    32,049.30x = 740,143,713.66
  5. Step 5: Solve for x
    x = 740,143,713.66/32,049.30
  6. Step 6: Final answer
    x = 23,093.91

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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.