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Finding the Fourth Proportional to 36,182.85, 49,886.00 and 28,102.82

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Solution

The fourth proportional to 36,182.85, 49,886.00 and 28,102.82 is: 38,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,182.85 : 49,886.00 = 28,102.82 : x
  2. Step 2: Convert to fraction form
    36,182.85/49,886.00 = 28,102.82/x
  3. Step 3: Cross multiply
    36,182.85x = 49,886.00 × 28,102.82
  4. Step 4: Simplify right side
    36,182.85x = 1,401,937,493.91
  5. Step 5: Solve for x
    x = 1,401,937,493.91/36,182.85
  6. Step 6: Final answer
    x = 38,745.91

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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.