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Finding the Fourth Proportional to 77,857.96, 107,437.50 and 43,855.60

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Solution

The fourth proportional to 77,857.96, 107,437.50 and 43,855.60 is: 60,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,857.96 : 107,437.50 = 43,855.60 : x
  2. Step 2: Convert to fraction form
    77,857.96/107,437.50 = 43,855.60/x
  3. Step 3: Cross multiply
    77,857.96x = 107,437.50 × 43,855.60
  4. Step 4: Simplify right side
    77,857.96x = 4,711,736,025
  5. Step 5: Solve for x
    x = 4,711,736,025/77,857.96
  6. Step 6: Final answer
    x = 60,517.08

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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.