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Finding the Fourth Proportional to 31,671.80, 47,510.42 and 8,298.24

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Solution

The fourth proportional to 31,671.80, 47,510.42 and 8,298.24 is: 12,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671.80 : 47,510.42 = 8,298.24 : x
  2. Step 2: Convert to fraction form
    31,671.80/47,510.42 = 8,298.24/x
  3. Step 3: Cross multiply
    31,671.80x = 47,510.42 × 8,298.24
  4. Step 4: Simplify right side
    31,671.80x = 394,252,867.66
  5. Step 5: Solve for x
    x = 394,252,867.66/31,671.80
  6. Step 6: Final answer
    x = 12,448.07

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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.