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Finding the Fourth Proportional to 76,894.30, 115,306.84 and 32,498.20

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Solution

The fourth proportional to 76,894.30, 115,306.84 and 32,498.20 is: 48,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,894.30 : 115,306.84 = 32,498.20 : x
  2. Step 2: Convert to fraction form
    76,894.30/115,306.84 = 32,498.20/x
  3. Step 3: Cross multiply
    76,894.30x = 115,306.84 × 32,498.20
  4. Step 4: Simplify right side
    76,894.30x = 3,747,264,747.69
  5. Step 5: Solve for x
    x = 3,747,264,747.69/76,894.30
  6. Step 6: Final answer
    x = 48,732.67

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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.