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Finding the Fourth Proportional to 77,693.12, 107,622.56 and 76,118.48

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Solution

The fourth proportional to 77,693.12, 107,622.56 and 76,118.48 is: 105,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,693.12 : 107,622.56 = 76,118.48 : x
  2. Step 2: Convert to fraction form
    77,693.12/107,622.56 = 76,118.48/x
  3. Step 3: Cross multiply
    77,693.12x = 107,622.56 × 76,118.48
  4. Step 4: Simplify right side
    77,693.12x = 8,192,065,680.91
  5. Step 5: Solve for x
    x = 8,192,065,680.91/77,693.12
  6. Step 6: Final answer
    x = 105,441.33

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.