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Finding the Fourth Proportional to 55,997.76, 77,278.50 and 32,128.68

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Solution

The fourth proportional to 55,997.76, 77,278.50 and 32,128.68 is: 44,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,997.76 : 77,278.50 = 32,128.68 : x
  2. Step 2: Convert to fraction form
    55,997.76/77,278.50 = 32,128.68/x
  3. Step 3: Cross multiply
    55,997.76x = 77,278.50 × 32,128.68
  4. Step 4: Simplify right side
    55,997.76x = 2,482,856,197.38
  5. Step 5: Solve for x
    x = 2,482,856,197.38/55,997.76
  6. Step 6: Final answer
    x = 44,338.49

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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.