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Finding the Fourth Proportional to 31,382.62, 47,073.90 and 8,009.06

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Solution

The fourth proportional to 31,382.62, 47,073.90 and 8,009.06 is: 12,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.62 : 47,073.90 = 8,009.06 : x
  2. Step 2: Convert to fraction form
    31,382.62/47,073.90 = 8,009.06/x
  3. Step 3: Cross multiply
    31,382.62x = 47,073.90 × 8,009.06
  4. Step 4: Simplify right side
    31,382.62x = 377,017,689.53
  5. Step 5: Solve for x
    x = 377,017,689.53/31,382.62
  6. Step 6: Final answer
    x = 12,013.58

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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.