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Finding the Fourth Proportional to 78,190.92, 107,917.92 and 44,656.92

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Solution

The fourth proportional to 78,190.92, 107,917.92 and 44,656.92 is: 61,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,190.92 : 107,917.92 = 44,656.92 : x
  2. Step 2: Convert to fraction form
    78,190.92/107,917.92 = 44,656.92/x
  3. Step 3: Cross multiply
    78,190.92x = 107,917.92 × 44,656.92
  4. Step 4: Simplify right side
    78,190.92x = 4,819,281,920.01
  5. Step 5: Solve for x
    x = 4,819,281,920.01/78,190.92
  6. Step 6: Final answer
    x = 61,634.80

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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.