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Finding the Fourth Proportional to 31,531.98, 47,302.84 and 9,348.78

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Solution

The fourth proportional to 31,531.98, 47,302.84 and 9,348.78 is: 14,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.98 : 47,302.84 = 9,348.78 : x
  2. Step 2: Convert to fraction form
    31,531.98/47,302.84 = 9,348.78/x
  3. Step 3: Cross multiply
    31,531.98x = 47,302.84 × 9,348.78
  4. Step 4: Simplify right side
    31,531.98x = 442,223,844.54
  5. Step 5: Solve for x
    x = 442,223,844.54/31,531.98
  6. Step 6: Final answer
    x = 14,024.61

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1.5x scale

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.