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Finding the Fourth Proportional to 78,171.48, 107,883.94 and 44,631

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Solution

The fourth proportional to 78,171.48, 107,883.94 and 44,631 is: 61,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,171.48 : 107,883.94 = 44,631 : x
  2. Step 2: Convert to fraction form
    78,171.48/107,883.94 = 44,631/x
  3. Step 3: Cross multiply
    78,171.48x = 107,883.94 × 44,631
  4. Step 4: Simplify right side
    78,171.48x = 4,814,968,126.14
  5. Step 5: Solve for x
    x = 4,814,968,126.14/78,171.48
  6. Step 6: Final answer
    x = 61,594.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.