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Finding the Fourth Proportional to 76,695.20, 115,046.70 and 24,105.20

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Solution

The fourth proportional to 76,695.20, 115,046.70 and 24,105.20 is: 36,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,695.20 : 115,046.70 = 24,105.20 : x
  2. Step 2: Convert to fraction form
    76,695.20/115,046.70 = 24,105.20/x
  3. Step 3: Cross multiply
    76,695.20x = 115,046.70 × 24,105.20
  4. Step 4: Simplify right side
    76,695.20x = 2,773,223,712.84
  5. Step 5: Solve for x
    x = 2,773,223,712.84/76,695.20
  6. Step 6: Final answer
    x = 36,159.03

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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.