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Finding the Fourth Proportional to 76,992.48, 115,454.16 and 24,392.16

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Solution

The fourth proportional to 76,992.48, 115,454.16 and 24,392.16 is: 36,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992.48 : 115,454.16 = 24,392.16 : x
  2. Step 2: Convert to fraction form
    76,992.48/115,454.16 = 24,392.16/x
  3. Step 3: Cross multiply
    76,992.48x = 115,454.16 × 24,392.16
  4. Step 4: Simplify right side
    76,992.48x = 2,816,176,343.39
  5. Step 5: Solve for x
    x = 2,816,176,343.39/76,992.48
  6. Step 6: Final answer
    x = 36,577.29

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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.