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Finding the Fourth Proportional to 32,049.40, 48,046.26 and 15,401.08

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Solution

The fourth proportional to 32,049.40, 48,046.26 and 15,401.08 is: 23,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.40 : 48,046.26 = 15,401.08 : x
  2. Step 2: Convert to fraction form
    32,049.40/48,046.26 = 15,401.08/x
  3. Step 3: Cross multiply
    32,049.40x = 48,046.26 × 15,401.08
  4. Step 4: Simplify right side
    32,049.40x = 739,964,293.96
  5. Step 5: Solve for x
    x = 739,964,293.96/32,049.40
  6. Step 6: Final answer
    x = 23,088.24

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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.