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Finding the Fourth Proportional to 78,233.74, 107,961.22 and 44,241.07

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Solution

The fourth proportional to 78,233.74, 107,961.22 and 44,241.07 is: 61,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,233.74 : 107,961.22 = 44,241.07 : x
  2. Step 2: Convert to fraction form
    78,233.74/107,961.22 = 44,241.07/x
  3. Step 3: Cross multiply
    78,233.74x = 107,961.22 × 44,241.07
  4. Step 4: Simplify right side
    78,233.74x = 4,776,319,891.31
  5. Step 5: Solve for x
    x = 4,776,319,891.31/78,233.74
  6. Step 6: Final answer
    x = 61,051.92

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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.