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Finding the Fourth Proportional to 57,296.25, 85,978.94 and 24,464.25

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Solution

The fourth proportional to 57,296.25, 85,978.94 and 24,464.25 is: 36,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,296.25 : 85,978.94 = 24,464.25 : x
  2. Step 2: Convert to fraction form
    57,296.25/85,978.94 = 24,464.25/x
  3. Step 3: Cross multiply
    57,296.25x = 85,978.94 × 24,464.25
  4. Step 4: Simplify right side
    57,296.25x = 2,103,410,160.57
  5. Step 5: Solve for x
    x = 2,103,410,160.57/57,296.25
  6. Step 6: Final answer
    x = 36,711.13

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1.5x scale

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.