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Finding the Fourth Proportional to 70,911.65, 106,331.23 and 23,509.64

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Solution

The fourth proportional to 70,911.65, 106,331.23 and 23,509.64 is: 35,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,911.65 : 106,331.23 = 23,509.64 : x
  2. Step 2: Convert to fraction form
    70,911.65/106,331.23 = 23,509.64/x
  3. Step 3: Cross multiply
    70,911.65x = 106,331.23 × 23,509.64
  4. Step 4: Simplify right side
    70,911.65x = 2,499,809,233.27
  5. Step 5: Solve for x
    x = 2,499,809,233.27/70,911.65
  6. Step 6: Final answer
    x = 35,252.45

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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.