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Finding the Fourth Proportional to 64,202.74, 96,296.82 and 24,756.55

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Solution

The fourth proportional to 64,202.74, 96,296.82 and 24,756.55 is: 37,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,202.74 : 96,296.82 = 24,756.55 : x
  2. Step 2: Convert to fraction form
    64,202.74/96,296.82 = 24,756.55/x
  3. Step 3: Cross multiply
    64,202.74x = 96,296.82 × 24,756.55
  4. Step 4: Simplify right side
    64,202.74x = 2,383,976,705.59
  5. Step 5: Solve for x
    x = 2,383,976,705.59/64,202.74
  6. Step 6: Final answer
    x = 37,132.01

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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.