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Finding the Fourth Proportional to 31,642.92, 47,464.76 and 9,451.20

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Solution

The fourth proportional to 31,642.92, 47,464.76 and 9,451.20 is: 14,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.92 : 47,464.76 = 9,451.20 : x
  2. Step 2: Convert to fraction form
    31,642.92/47,464.76 = 9,451.20/x
  3. Step 3: Cross multiply
    31,642.92x = 47,464.76 × 9,451.20
  4. Step 4: Simplify right side
    31,642.92x = 448,598,939.71
  5. Step 5: Solve for x
    x = 448,598,939.71/31,642.92
  6. Step 6: Final answer
    x = 14,176.91

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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.