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Finding the Fourth Proportional to 76,998.81, 115,502.31 and 24,412.41

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Solution

The fourth proportional to 76,998.81, 115,502.31 and 24,412.41 is: 36,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,998.81 : 115,502.31 = 24,412.41 : x
  2. Step 2: Convert to fraction form
    76,998.81/115,502.31 = 24,412.41/x
  3. Step 3: Cross multiply
    76,998.81x = 115,502.31 × 24,412.41
  4. Step 4: Simplify right side
    76,998.81x = 2,819,689,747.67
  5. Step 5: Solve for x
    x = 2,819,689,747.67/76,998.81
  6. Step 6: Final answer
    x = 36,619.91

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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.