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Finding the Fourth Proportional to 31,479.96, 47,228.08 and 11,758.69

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Solution

The fourth proportional to 31,479.96, 47,228.08 and 11,758.69 is: 17,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,479.96 : 47,228.08 = 11,758.69 : x
  2. Step 2: Convert to fraction form
    31,479.96/47,228.08 = 11,758.69/x
  3. Step 3: Cross multiply
    31,479.96x = 47,228.08 × 11,758.69
  4. Step 4: Simplify right side
    31,479.96x = 555,340,352.02
  5. Step 5: Solve for x
    x = 555,340,352.02/31,479.96
  6. Step 6: Final answer
    x = 17,641.08

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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.