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Finding the Fourth Proportional to 76,952.52, 115,438.54 and 24,343

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Solution

The fourth proportional to 76,952.52, 115,438.54 and 24,343 is: 36,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,952.52 : 115,438.54 = 24,343 : x
  2. Step 2: Convert to fraction form
    76,952.52/115,438.54 = 24,343/x
  3. Step 3: Cross multiply
    76,952.52x = 115,438.54 × 24,343
  4. Step 4: Simplify right side
    76,952.52x = 2,810,120,379.22
  5. Step 5: Solve for x
    x = 2,810,120,379.22/76,952.52
  6. Step 6: Final answer
    x = 36,517.59

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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.