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Finding the Fourth Proportional to 70,233.29, 105,327.98 and 23,475.23

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Solution

The fourth proportional to 70,233.29, 105,327.98 and 23,475.23 is: 35,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,233.29 : 105,327.98 = 23,475.23 : x
  2. Step 2: Convert to fraction form
    70,233.29/105,327.98 = 23,475.23/x
  3. Step 3: Cross multiply
    70,233.29x = 105,327.98 × 23,475.23
  4. Step 4: Simplify right side
    70,233.29x = 2,472,598,438.56
  5. Step 5: Solve for x
    x = 2,472,598,438.56/70,233.29
  6. Step 6: Final answer
    x = 35,205.50

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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.