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Finding the Fourth Proportional to 52,458.20, 78,621.49 and 22,437.20

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Solution

The fourth proportional to 52,458.20, 78,621.49 and 22,437.20 is: 33,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,458.20 : 78,621.49 = 22,437.20 : x
  2. Step 2: Convert to fraction form
    52,458.20/78,621.49 = 22,437.20/x
  3. Step 3: Cross multiply
    52,458.20x = 78,621.49 × 22,437.20
  4. Step 4: Simplify right side
    52,458.20x = 1,764,046,320.03
  5. Step 5: Solve for x
    x = 1,764,046,320.03/52,458.20
  6. Step 6: Final answer
    x = 33,627.66

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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.