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Finding the Fourth Proportional to 77,841.40, 107,377.92 and 51,027.16

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Solution

The fourth proportional to 77,841.40, 107,377.92 and 51,027.16 is: 70,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,841.40 : 107,377.92 = 51,027.16 : x
  2. Step 2: Convert to fraction form
    77,841.40/107,377.92 = 51,027.16/x
  3. Step 3: Cross multiply
    77,841.40x = 107,377.92 × 51,027.16
  4. Step 4: Simplify right side
    77,841.40x = 5,479,190,304.31
  5. Step 5: Solve for x
    x = 5,479,190,304.31/77,841.40
  6. Step 6: Final answer
    x = 70,389.15

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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.