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Finding the Fourth Proportional to 36,143.12, 49,832.52 and 27,655.76

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Solution

The fourth proportional to 36,143.12, 49,832.52 and 27,655.76 is: 38,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.12 : 49,832.52 = 27,655.76 : x
  2. Step 2: Convert to fraction form
    36,143.12/49,832.52 = 27,655.76/x
  3. Step 3: Cross multiply
    36,143.12x = 49,832.52 × 27,655.76
  4. Step 4: Simplify right side
    36,143.12x = 1,378,156,213.32
  5. Step 5: Solve for x
    x = 1,378,156,213.32/36,143.12
  6. Step 6: Final answer
    x = 38,130.53

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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.