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Finding the Fourth Proportional to 70,472.32, 105,718.26 and 23,738.56

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Solution

The fourth proportional to 70,472.32, 105,718.26 and 23,738.56 is: 35,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472.32 : 105,718.26 = 23,738.56 : x
  2. Step 2: Convert to fraction form
    70,472.32/105,718.26 = 23,738.56/x
  3. Step 3: Cross multiply
    70,472.32x = 105,718.26 × 23,738.56
  4. Step 4: Simplify right side
    70,472.32x = 2,509,599,258.11
  5. Step 5: Solve for x
    x = 2,509,599,258.11/70,472.32
  6. Step 6: Final answer
    x = 35,611.13

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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.