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Finding the Fourth Proportional to 73,923.50, 110,902.80 and 24,003.74

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Solution

The fourth proportional to 73,923.50, 110,902.80 and 24,003.74 is: 36,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,923.50 : 110,902.80 = 24,003.74 : x
  2. Step 2: Convert to fraction form
    73,923.50/110,902.80 = 24,003.74/x
  3. Step 3: Cross multiply
    73,923.50x = 110,902.80 × 24,003.74
  4. Step 4: Simplify right side
    73,923.50x = 2,662,081,976.47
  5. Step 5: Solve for x
    x = 2,662,081,976.47/73,923.50
  6. Step 6: Final answer
    x = 36,011.31

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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.