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Finding the Fourth Proportional to 31,373.84, 47,060.76 and 8,000.27

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Solution

The fourth proportional to 31,373.84, 47,060.76 and 8,000.27 is: 12,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.84 : 47,060.76 = 8,000.27 : x
  2. Step 2: Convert to fraction form
    31,373.84/47,060.76 = 8,000.27/x
  3. Step 3: Cross multiply
    31,373.84x = 47,060.76 × 8,000.27
  4. Step 4: Simplify right side
    31,373.84x = 376,498,904.06
  5. Step 5: Solve for x
    x = 376,498,904.06/31,373.84
  6. Step 6: Final answer
    x = 12,000.41

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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.