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Finding the Fourth Proportional to 31,102.48, 46,654.44 and 7,729.12

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Solution

The fourth proportional to 31,102.48, 46,654.44 and 7,729.12 is: 11,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.48 : 46,654.44 = 7,729.12 : x
  2. Step 2: Convert to fraction form
    31,102.48/46,654.44 = 7,729.12/x
  3. Step 3: Cross multiply
    31,102.48x = 46,654.44 × 7,729.12
  4. Step 4: Simplify right side
    31,102.48x = 360,597,765.29
  5. Step 5: Solve for x
    x = 360,597,765.29/31,102.48
  6. Step 6: Final answer
    x = 11,593.86

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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.