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Finding the Fourth Proportional to 32,204.30, 48,306.44 and 10,019.07

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Solution

The fourth proportional to 32,204.30, 48,306.44 and 10,019.07 is: 15,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.30 : 48,306.44 = 10,019.07 : x
  2. Step 2: Convert to fraction form
    32,204.30/48,306.44 = 10,019.07/x
  3. Step 3: Cross multiply
    32,204.30x = 48,306.44 × 10,019.07
  4. Step 4: Simplify right side
    32,204.30x = 483,985,628.86
  5. Step 5: Solve for x
    x = 483,985,628.86/32,204.30
  6. Step 6: Final answer
    x = 15,028.61

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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.