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Finding the Fourth Proportional to 70,232.54, 105,326.85 and 23,474.48

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Solution

The fourth proportional to 70,232.54, 105,326.85 and 23,474.48 is: 35,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,232.54 : 105,326.85 = 23,474.48 : x
  2. Step 2: Convert to fraction form
    70,232.54/105,326.85 = 23,474.48/x
  3. Step 3: Cross multiply
    70,232.54x = 105,326.85 × 23,474.48
  4. Step 4: Simplify right side
    70,232.54x = 2,472,493,033.79
  5. Step 5: Solve for x
    x = 2,472,493,033.79/70,232.54
  6. Step 6: Final answer
    x = 35,204.38

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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.