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Finding the Fourth Proportional to 77,658.36, 107,138.06 and 43,659

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Solution

The fourth proportional to 77,658.36, 107,138.06 and 43,659 is: 60,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.36 : 107,138.06 = 43,659 : x
  2. Step 2: Convert to fraction form
    77,658.36/107,138.06 = 43,659/x
  3. Step 3: Cross multiply
    77,658.36x = 107,138.06 × 43,659
  4. Step 4: Simplify right side
    77,658.36x = 4,677,540,561.54
  5. Step 5: Solve for x
    x = 4,677,540,561.54/77,658.36
  6. Step 6: Final answer
    x = 60,232.29

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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.