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Finding the Fourth Proportional to 71,708, 107,562 and 34,154.24

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Solution

The fourth proportional to 71,708, 107,562 and 34,154.24 is: 51,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708 : 107,562 = 34,154.24 : x
  2. Step 2: Convert to fraction form
    71,708/107,562 = 34,154.24/x
  3. Step 3: Cross multiply
    71,708x = 107,562 × 34,154.24
  4. Step 4: Simplify right side
    71,708x = 3,673,698,362.88
  5. Step 5: Solve for x
    x = 3,673,698,362.88/71,708
  6. Step 6: Final answer
    x = 51,231.36

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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.