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Finding the Fourth Proportional to 32,476.91, 48,716.78 and 10,291.92

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Solution

The fourth proportional to 32,476.91, 48,716.78 and 10,291.92 is: 15,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.91 : 48,716.78 = 10,291.92 : x
  2. Step 2: Convert to fraction form
    32,476.91/48,716.78 = 10,291.92/x
  3. Step 3: Cross multiply
    32,476.91x = 48,716.78 × 10,291.92
  4. Step 4: Simplify right side
    32,476.91x = 501,389,202.42
  5. Step 5: Solve for x
    x = 501,389,202.42/32,476.91
  6. Step 6: Final answer
    x = 15,438.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.