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Finding the Fourth Proportional to 77,249.76, 115,864.92 and 24,654.84

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Solution

The fourth proportional to 77,249.76, 115,864.92 and 24,654.84 is: 36,979.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,249.76 : 115,864.92 = 24,654.84 : x
  2. Step 2: Convert to fraction form
    77,249.76/115,864.92 = 24,654.84/x
  3. Step 3: Cross multiply
    77,249.76x = 115,864.92 × 24,654.84
  4. Step 4: Simplify right side
    77,249.76x = 2,856,631,064.21
  5. Step 5: Solve for x
    x = 2,856,631,064.21/77,249.76
  6. Step 6: Final answer
    x = 36,979.16

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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.