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Finding the Fourth Proportional to 70,161.16, 105,283.27 and 25,819.06

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Solution

The fourth proportional to 70,161.16, 105,283.27 and 25,819.06 is: 38,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161.16 : 105,283.27 = 25,819.06 : x
  2. Step 2: Convert to fraction form
    70,161.16/105,283.27 = 25,819.06/x
  3. Step 3: Cross multiply
    70,161.16x = 105,283.27 × 25,819.06
  4. Step 4: Simplify right side
    70,161.16x = 2,718,315,065.13
  5. Step 5: Solve for x
    x = 2,718,315,065.13/70,161.16
  6. Step 6: Final answer
    x = 38,743.87

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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.