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Finding the Fourth Proportional to 38,209.80, 57,322.80 and 11,553.60

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Solution

The fourth proportional to 38,209.80, 57,322.80 and 11,553.60 is: 17,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.80 : 57,322.80 = 11,553.60 : x
  2. Step 2: Convert to fraction form
    38,209.80/57,322.80 = 11,553.60/x
  3. Step 3: Cross multiply
    38,209.80x = 57,322.80 × 11,553.60
  4. Step 4: Simplify right side
    38,209.80x = 662,284,702.08
  5. Step 5: Solve for x
    x = 662,284,702.08/38,209.80
  6. Step 6: Final answer
    x = 17,332.85

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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.