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Finding the Fourth Proportional to 83,285.44, 114,932.16 and 45,558.40

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Solution

The fourth proportional to 83,285.44, 114,932.16 and 45,558.40 is: 62,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,285.44 : 114,932.16 = 45,558.40 : x
  2. Step 2: Convert to fraction form
    83,285.44/114,932.16 = 45,558.40/x
  3. Step 3: Cross multiply
    83,285.44x = 114,932.16 × 45,558.40
  4. Step 4: Simplify right side
    83,285.44x = 5,236,125,318.14
  5. Step 5: Solve for x
    x = 5,236,125,318.14/83,285.44
  6. Step 6: Final answer
    x = 62,869.64

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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.