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Finding the Fourth Proportional to 57,198.25, 78,933.59 and 34,842.25

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Solution

The fourth proportional to 57,198.25, 78,933.59 and 34,842.25 is: 48,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.25 : 78,933.59 = 34,842.25 : x
  2. Step 2: Convert to fraction form
    57,198.25/78,933.59 = 34,842.25/x
  3. Step 3: Cross multiply
    57,198.25x = 78,933.59 × 34,842.25
  4. Step 4: Simplify right side
    57,198.25x = 2,750,223,876.18
  5. Step 5: Solve for x
    x = 2,750,223,876.18/57,198.25
  6. Step 6: Final answer
    x = 48,082.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.