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Finding the Fourth Proportional to 75,876.70, 104,601.02 and 59,716

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Solution

The fourth proportional to 75,876.70, 104,601.02 and 59,716 is: 82,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,876.70 : 104,601.02 = 59,716 : x
  2. Step 2: Convert to fraction form
    75,876.70/104,601.02 = 59,716/x
  3. Step 3: Cross multiply
    75,876.70x = 104,601.02 × 59,716
  4. Step 4: Simplify right side
    75,876.70x = 6,246,354,510.32
  5. Step 5: Solve for x
    x = 6,246,354,510.32/75,876.70
  6. Step 6: Final answer
    x = 82,322.43

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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.