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Finding the Fourth Proportional to 77,168.52, 115,751.58 and 24,577.56

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Solution

The fourth proportional to 77,168.52, 115,751.58 and 24,577.56 is: 36,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,168.52 : 115,751.58 = 24,577.56 : x
  2. Step 2: Convert to fraction form
    77,168.52/115,751.58 = 24,577.56/x
  3. Step 3: Cross multiply
    77,168.52x = 115,751.58 × 24,577.56
  4. Step 4: Simplify right side
    77,168.52x = 2,844,891,402.54
  5. Step 5: Solve for x
    x = 2,844,891,402.54/77,168.52
  6. Step 6: Final answer
    x = 36,865.96

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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.