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Finding the Fourth Proportional to 52,286.59, 78,423.41 and 30,952

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Solution

The fourth proportional to 52,286.59, 78,423.41 and 30,952 is: 46,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,286.59 : 78,423.41 = 30,952 : x
  2. Step 2: Convert to fraction form
    52,286.59/78,423.41 = 30,952/x
  3. Step 3: Cross multiply
    52,286.59x = 78,423.41 × 30,952
  4. Step 4: Simplify right side
    52,286.59x = 2,427,361,231.56
  5. Step 5: Solve for x
    x = 2,427,361,231.56/52,286.59
  6. Step 6: Final answer
    x = 46,424.16

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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.