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Finding the Fourth Proportional to 70,819.98, 106,206.93 and 23,426.16

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Solution

The fourth proportional to 70,819.98, 106,206.93 and 23,426.16 is: 35,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,819.98 : 106,206.93 = 23,426.16 : x
  2. Step 2: Convert to fraction form
    70,819.98/106,206.93 = 23,426.16/x
  3. Step 3: Cross multiply
    70,819.98x = 106,206.93 × 23,426.16
  4. Step 4: Simplify right side
    70,819.98x = 2,488,020,535.29
  5. Step 5: Solve for x
    x = 2,488,020,535.29/70,819.98
  6. Step 6: Final answer
    x = 35,131.62

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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.