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Finding the Fourth Proportional to 31,348.84, 47,029.74 and 13,818.28

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Solution

The fourth proportional to 31,348.84, 47,029.74 and 13,818.28 is: 20,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348.84 : 47,029.74 = 13,818.28 : x
  2. Step 2: Convert to fraction form
    31,348.84/47,029.74 = 13,818.28/x
  3. Step 3: Cross multiply
    31,348.84x = 47,029.74 × 13,818.28
  4. Step 4: Simplify right side
    31,348.84x = 649,870,115.65
  5. Step 5: Solve for x
    x = 649,870,115.65/31,348.84
  6. Step 6: Final answer
    x = 20,730.28

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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.