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Finding the Fourth Proportional to 38,468.25, 57,705.62 and 10,766.25

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Solution

The fourth proportional to 38,468.25, 57,705.62 and 10,766.25 is: 16,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.25 : 57,705.62 = 10,766.25 : x
  2. Step 2: Convert to fraction form
    38,468.25/57,705.62 = 10,766.25/x
  3. Step 3: Cross multiply
    38,468.25x = 57,705.62 × 10,766.25
  4. Step 4: Simplify right side
    38,468.25x = 621,273,077.49
  5. Step 5: Solve for x
    x = 621,273,077.49/38,468.25
  6. Step 6: Final answer
    x = 16,150.28

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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.