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Finding the Fourth Proportional to 83,846, 115,679.24 and 56,941.84

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Solution

The fourth proportional to 83,846, 115,679.24 and 56,941.84 is: 78,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,846 : 115,679.24 = 56,941.84 : x
  2. Step 2: Convert to fraction form
    83,846/115,679.24 = 56,941.84/x
  3. Step 3: Cross multiply
    83,846x = 115,679.24 × 56,941.84
  4. Step 4: Simplify right side
    83,846x = 6,586,988,775.40
  5. Step 5: Solve for x
    x = 6,586,988,775.40/83,846
  6. Step 6: Final answer
    x = 78,560.56

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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.