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Finding the Fourth Proportional to 70,494.19, 105,764.97 and 26,124.52

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Solution

The fourth proportional to 70,494.19, 105,764.97 and 26,124.52 is: 39,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494.19 : 105,764.97 = 26,124.52 : x
  2. Step 2: Convert to fraction form
    70,494.19/105,764.97 = 26,124.52/x
  3. Step 3: Cross multiply
    70,494.19x = 105,764.97 × 26,124.52
  4. Step 4: Simplify right side
    70,494.19x = 2,763,059,074.06
  5. Step 5: Solve for x
    x = 2,763,059,074.06/70,494.19
  6. Step 6: Final answer
    x = 39,195.56

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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.