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Finding the Fourth Proportional to 76,952.70, 115,429.05 and 41,874.30

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Solution

The fourth proportional to 76,952.70, 115,429.05 and 41,874.30 is: 62,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,952.70 : 115,429.05 = 41,874.30 : x
  2. Step 2: Convert to fraction form
    76,952.70/115,429.05 = 41,874.30/x
  3. Step 3: Cross multiply
    76,952.70x = 115,429.05 × 41,874.30
  4. Step 4: Simplify right side
    76,952.70x = 4,833,510,668.42
  5. Step 5: Solve for x
    x = 4,833,510,668.42/76,952.70
  6. Step 6: Final answer
    x = 62,811.45

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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.