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Finding the Fourth Proportional to 31,479.84, 47,218.20 and 11,756.88

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Solution

The fourth proportional to 31,479.84, 47,218.20 and 11,756.88 is: 17,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,479.84 : 47,218.20 = 11,756.88 : x
  2. Step 2: Convert to fraction form
    31,479.84/47,218.20 = 11,756.88/x
  3. Step 3: Cross multiply
    31,479.84x = 47,218.20 × 11,756.88
  4. Step 4: Simplify right side
    31,479.84x = 555,138,711.22
  5. Step 5: Solve for x
    x = 555,138,711.22/31,479.84
  6. Step 6: Final answer
    x = 17,634.74

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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.