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Finding the Fourth Proportional to 75,096.56, 112,790.64 and 55,296.92

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Solution

The fourth proportional to 75,096.56, 112,790.64 and 55,296.92 is: 83,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,096.56 : 112,790.64 = 55,296.92 : x
  2. Step 2: Convert to fraction form
    75,096.56/112,790.64 = 55,296.92/x
  3. Step 3: Cross multiply
    75,096.56x = 112,790.64 × 55,296.92
  4. Step 4: Simplify right side
    75,096.56x = 6,236,974,996.83
  5. Step 5: Solve for x
    x = 6,236,974,996.83/75,096.56
  6. Step 6: Final answer
    x = 83,052.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.