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Finding the Fourth Proportional to 36,718.82, 50,692.95 and 24,180.02

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Solution

The fourth proportional to 36,718.82, 50,692.95 and 24,180.02 is: 33,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,718.82 : 50,692.95 = 24,180.02 : x
  2. Step 2: Convert to fraction form
    36,718.82/50,692.95 = 24,180.02/x
  3. Step 3: Cross multiply
    36,718.82x = 50,692.95 × 24,180.02
  4. Step 4: Simplify right side
    36,718.82x = 1,225,756,291.39
  5. Step 5: Solve for x
    x = 1,225,756,291.39/36,718.82
  6. Step 6: Final answer
    x = 33,382.24

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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.