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Finding the Fourth Proportional to 30,972.42, 46,221.26 and 27,650.88

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Solution

The fourth proportional to 30,972.42, 46,221.26 and 27,650.88 is: 41,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.42 : 46,221.26 = 27,650.88 : x
  2. Step 2: Convert to fraction form
    30,972.42/46,221.26 = 27,650.88/x
  3. Step 3: Cross multiply
    30,972.42x = 46,221.26 × 27,650.88
  4. Step 4: Simplify right side
    30,972.42x = 1,278,058,375.45
  5. Step 5: Solve for x
    x = 1,278,058,375.45/30,972.42
  6. Step 6: Final answer
    x = 41,264.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.