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Finding the Fourth Proportional to 31,788.28, 47,686.88 and 9,599.14

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Solution

The fourth proportional to 31,788.28, 47,686.88 and 9,599.14 is: 14,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.28 : 47,686.88 = 9,599.14 : x
  2. Step 2: Convert to fraction form
    31,788.28/47,686.88 = 9,599.14/x
  3. Step 3: Cross multiply
    31,788.28x = 47,686.88 × 9,599.14
  4. Step 4: Simplify right side
    31,788.28x = 457,753,037.28
  5. Step 5: Solve for x
    x = 457,753,037.28/31,788.28
  6. Step 6: Final answer
    x = 14,400.06

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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.