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Finding the Fourth Proportional to 56,202.68, 84,202.50 and 35,132.69

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Solution

The fourth proportional to 56,202.68, 84,202.50 and 35,132.69 is: 52,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.68 : 84,202.50 = 35,132.69 : x
  2. Step 2: Convert to fraction form
    56,202.68/84,202.50 = 35,132.69/x
  3. Step 3: Cross multiply
    56,202.68x = 84,202.50 × 35,132.69
  4. Step 4: Simplify right side
    56,202.68x = 2,958,260,671.98
  5. Step 5: Solve for x
    x = 2,958,260,671.98/56,202.68
  6. Step 6: Final answer
    x = 52,635.58

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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.