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Finding the Fourth Proportional to 70,876.56, 106,277.94 and 26,466.80

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Solution

The fourth proportional to 70,876.56, 106,277.94 and 26,466.80 is: 39,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.56 : 106,277.94 = 26,466.80 : x
  2. Step 2: Convert to fraction form
    70,876.56/106,277.94 = 26,466.80/x
  3. Step 3: Cross multiply
    70,876.56x = 106,277.94 × 26,466.80
  4. Step 4: Simplify right side
    70,876.56x = 2,812,836,451.00
  5. Step 5: Solve for x
    x = 2,812,836,451.00/70,876.56
  6. Step 6: Final answer
    x = 39,686.41

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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.