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Finding the Fourth Proportional to 31,703.28, 47,553 and 8,329.68

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Solution

The fourth proportional to 31,703.28, 47,553 and 8,329.68 is: 12,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.28 : 47,553 = 8,329.68 : x
  2. Step 2: Convert to fraction form
    31,703.28/47,553 = 8,329.68/x
  3. Step 3: Cross multiply
    31,703.28x = 47,553 × 8,329.68
  4. Step 4: Simplify right side
    31,703.28x = 396,101,273.04
  5. Step 5: Solve for x
    x = 396,101,273.04/31,703.28
  6. Step 6: Final answer
    x = 12,494.02

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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.