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Finding the Fourth Proportional to 76,778.89, 105,914.38 and 52,864.05

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Solution

The fourth proportional to 76,778.89, 105,914.38 and 52,864.05 is: 72,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,778.89 : 105,914.38 = 52,864.05 : x
  2. Step 2: Convert to fraction form
    76,778.89/105,914.38 = 52,864.05/x
  3. Step 3: Cross multiply
    76,778.89x = 105,914.38 × 52,864.05
  4. Step 4: Simplify right side
    76,778.89x = 5,599,063,080.04
  5. Step 5: Solve for x
    x = 5,599,063,080.04/76,778.89
  6. Step 6: Final answer
    x = 72,924.51

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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.