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Finding the Fourth Proportional to 40,602.70, 56,049 and 24,692.26

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Solution

The fourth proportional to 40,602.70, 56,049 and 24,692.26 is: 34,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,602.70 : 56,049 = 24,692.26 : x
  2. Step 2: Convert to fraction form
    40,602.70/56,049 = 24,692.26/x
  3. Step 3: Cross multiply
    40,602.70x = 56,049 × 24,692.26
  4. Step 4: Simplify right side
    40,602.70x = 1,383,976,480.74
  5. Step 5: Solve for x
    x = 1,383,976,480.74/40,602.70
  6. Step 6: Final answer
    x = 34,085.82

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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.