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Finding the Fourth Proportional to 55,702.46, 83,578.80 and 27,650.54

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Solution

The fourth proportional to 55,702.46, 83,578.80 and 27,650.54 is: 41,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.46 : 83,578.80 = 27,650.54 : x
  2. Step 2: Convert to fraction form
    55,702.46/83,578.80 = 27,650.54/x
  3. Step 3: Cross multiply
    55,702.46x = 83,578.80 × 27,650.54
  4. Step 4: Simplify right side
    55,702.46x = 2,310,998,952.55
  5. Step 5: Solve for x
    x = 2,310,998,952.55/55,702.46
  6. Step 6: Final answer
    x = 41,488.27

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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.