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Finding the Fourth Proportional to 55,447.68, 76,498.38 and 42,704.76

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Solution

The fourth proportional to 55,447.68, 76,498.38 and 42,704.76 is: 58,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,447.68 : 76,498.38 = 42,704.76 : x
  2. Step 2: Convert to fraction form
    55,447.68/76,498.38 = 42,704.76/x
  3. Step 3: Cross multiply
    55,447.68x = 76,498.38 × 42,704.76
  4. Step 4: Simplify right side
    55,447.68x = 3,266,844,958.29
  5. Step 5: Solve for x
    x = 3,266,844,958.29/55,447.68
  6. Step 6: Final answer
    x = 58,917.61

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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.