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Finding the Fourth Proportional to 76,703.80, 115,008.72 and 29,902

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Solution

The fourth proportional to 76,703.80, 115,008.72 and 29,902 is: 44,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,703.80 : 115,008.72 = 29,902 : x
  2. Step 2: Convert to fraction form
    76,703.80/115,008.72 = 29,902/x
  3. Step 3: Cross multiply
    76,703.80x = 115,008.72 × 29,902
  4. Step 4: Simplify right side
    76,703.80x = 3,438,990,745.44
  5. Step 5: Solve for x
    x = 3,438,990,745.44/76,703.80
  6. Step 6: Final answer
    x = 44,834.69

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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.