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Finding the Fourth Proportional to 76,678.56, 115,018.56 and 24,086.88

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Solution

The fourth proportional to 76,678.56, 115,018.56 and 24,086.88 is: 36,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678.56 : 115,018.56 = 24,086.88 : x
  2. Step 2: Convert to fraction form
    76,678.56/115,018.56 = 24,086.88/x
  3. Step 3: Cross multiply
    76,678.56x = 115,018.56 × 24,086.88
  4. Step 4: Simplify right side
    76,678.56x = 2,770,438,252.49
  5. Step 5: Solve for x
    x = 2,770,438,252.49/76,678.56
  6. Step 6: Final answer
    x = 36,130.55

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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.