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Finding the Fourth Proportional to 56,205.82, 77,600.19 and 36,071.38

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Solution

The fourth proportional to 56,205.82, 77,600.19 and 36,071.38 is: 49,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,205.82 : 77,600.19 = 36,071.38 : x
  2. Step 2: Convert to fraction form
    56,205.82/77,600.19 = 36,071.38/x
  3. Step 3: Cross multiply
    56,205.82x = 77,600.19 × 36,071.38
  4. Step 4: Simplify right side
    56,205.82x = 2,799,145,941.56
  5. Step 5: Solve for x
    x = 2,799,145,941.56/56,205.82
  6. Step 6: Final answer
    x = 49,801.71

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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.