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Finding the Fourth Proportional to 76,919.80, 115,367.70 and 24,342.20

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Solution

The fourth proportional to 76,919.80, 115,367.70 and 24,342.20 is: 36,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,919.80 : 115,367.70 = 24,342.20 : x
  2. Step 2: Convert to fraction form
    76,919.80/115,367.70 = 24,342.20/x
  3. Step 3: Cross multiply
    76,919.80x = 115,367.70 × 24,342.20
  4. Step 4: Simplify right side
    76,919.80x = 2,808,303,626.94
  5. Step 5: Solve for x
    x = 2,808,303,626.94/76,919.80
  6. Step 6: Final answer
    x = 36,509.50

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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.