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Finding the Fourth Proportional to 69,975.60, 104,924.88 and 47,814

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Solution

The fourth proportional to 69,975.60, 104,924.88 and 47,814 is: 71,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,975.60 : 104,924.88 = 47,814 : x
  2. Step 2: Convert to fraction form
    69,975.60/104,924.88 = 47,814/x
  3. Step 3: Cross multiply
    69,975.60x = 104,924.88 × 47,814
  4. Step 4: Simplify right side
    69,975.60x = 5,016,878,212.32
  5. Step 5: Solve for x
    x = 5,016,878,212.32/69,975.60
  6. Step 6: Final answer
    x = 71,694.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.