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Finding the Fourth Proportional to 78,194.42, 107,922.76 and 44,660.42

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Solution

The fourth proportional to 78,194.42, 107,922.76 and 44,660.42 is: 61,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,194.42 : 107,922.76 = 44,660.42 : x
  2. Step 2: Convert to fraction form
    78,194.42/107,922.76 = 44,660.42/x
  3. Step 3: Cross multiply
    78,194.42x = 107,922.76 × 44,660.42
  4. Step 4: Simplify right side
    78,194.42x = 4,819,875,789.16
  5. Step 5: Solve for x
    x = 4,819,875,789.16/78,194.42
  6. Step 6: Final answer
    x = 61,639.64

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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.