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Finding the Fourth Proportional to 32,007.42, 48,011.13 and 11,230.92

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Solution

The fourth proportional to 32,007.42, 48,011.13 and 11,230.92 is: 16,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.42 : 48,011.13 = 11,230.92 : x
  2. Step 2: Convert to fraction form
    32,007.42/48,011.13 = 11,230.92/x
  3. Step 3: Cross multiply
    32,007.42x = 48,011.13 × 11,230.92
  4. Step 4: Simplify right side
    32,007.42x = 539,209,160.14
  5. Step 5: Solve for x
    x = 539,209,160.14/32,007.42
  6. Step 6: Final answer
    x = 16,846.38

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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.