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Finding the Fourth Proportional to 56,729, 78,286.56 and 31,579.04

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Solution

The fourth proportional to 56,729, 78,286.56 and 31,579.04 is: 43,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,729 : 78,286.56 = 31,579.04 : x
  2. Step 2: Convert to fraction form
    56,729/78,286.56 = 31,579.04/x
  3. Step 3: Cross multiply
    56,729x = 78,286.56 × 31,579.04
  4. Step 4: Simplify right side
    56,729x = 2,472,214,409.70
  5. Step 5: Solve for x
    x = 2,472,214,409.70/56,729
  6. Step 6: Final answer
    x = 43,579.38

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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.