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Finding the Fourth Proportional to 31,882.76, 47,822.48 and 9,695.64

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Solution

The fourth proportional to 31,882.76, 47,822.48 and 9,695.64 is: 14,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.76 : 47,822.48 = 9,695.64 : x
  2. Step 2: Convert to fraction form
    31,882.76/47,822.48 = 9,695.64/x
  3. Step 3: Cross multiply
    31,882.76x = 47,822.48 × 9,695.64
  4. Step 4: Simplify right side
    31,882.76x = 463,669,549.99
  5. Step 5: Solve for x
    x = 463,669,549.99/31,882.76
  6. Step 6: Final answer
    x = 14,542.96

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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.