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Finding the Fourth Proportional to 77,684, 107,204.04 and 44,150

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Solution

The fourth proportional to 77,684, 107,204.04 and 44,150 is: 60,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684 : 107,204.04 = 44,150 : x
  2. Step 2: Convert to fraction form
    77,684/107,204.04 = 44,150/x
  3. Step 3: Cross multiply
    77,684x = 107,204.04 × 44,150
  4. Step 4: Simplify right side
    77,684x = 4,733,058,366
  5. Step 5: Solve for x
    x = 4,733,058,366/77,684
  6. Step 6: Final answer
    x = 60,927.07

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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.