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Finding the Fourth Proportional to 83,153.35, 114,751.60 and 44,912.87

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Solution

The fourth proportional to 83,153.35, 114,751.60 and 44,912.87 is: 61,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,153.35 : 114,751.60 = 44,912.87 : x
  2. Step 2: Convert to fraction form
    83,153.35/114,751.60 = 44,912.87/x
  3. Step 3: Cross multiply
    83,153.35x = 114,751.60 × 44,912.87
  4. Step 4: Simplify right side
    83,153.35x = 5,153,823,690.01
  5. Step 5: Solve for x
    x = 5,153,823,690.01/83,153.35
  6. Step 6: Final answer
    x = 61,979.75

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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.