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Finding the Fourth Proportional to 40,692.32, 56,079.84 and 27,949.28

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Solution

The fourth proportional to 40,692.32, 56,079.84 and 27,949.28 is: 38,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,692.32 : 56,079.84 = 27,949.28 : x
  2. Step 2: Convert to fraction form
    40,692.32/56,079.84 = 27,949.28/x
  3. Step 3: Cross multiply
    40,692.32x = 56,079.84 × 27,949.28
  4. Step 4: Simplify right side
    40,692.32x = 1,567,391,150.52
  5. Step 5: Solve for x
    x = 1,567,391,150.52/40,692.32
  6. Step 6: Final answer
    x = 38,518.11

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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.