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Finding the Fourth Proportional to 70,016, 105,024 and 68,253.44

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Solution

The fourth proportional to 70,016, 105,024 and 68,253.44 is: 102,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,016 : 105,024 = 68,253.44 : x
  2. Step 2: Convert to fraction form
    70,016/105,024 = 68,253.44/x
  3. Step 3: Cross multiply
    70,016x = 105,024 × 68,253.44
  4. Step 4: Simplify right side
    70,016x = 7,168,249,282.56
  5. Step 5: Solve for x
    x = 7,168,249,282.56/70,016
  6. Step 6: Final answer
    x = 102,380.16

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Why These Related Problems?

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