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Finding the Fourth Proportional to 70,517.83, 105,823.95 and 26,144.95

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Solution

The fourth proportional to 70,517.83, 105,823.95 and 26,144.95 is: 39,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,517.83 : 105,823.95 = 26,144.95 : x
  2. Step 2: Convert to fraction form
    70,517.83/105,823.95 = 26,144.95/x
  3. Step 3: Cross multiply
    70,517.83x = 105,823.95 × 26,144.95
  4. Step 4: Simplify right side
    70,517.83x = 2,766,761,881.55
  5. Step 5: Solve for x
    x = 2,766,761,881.55/70,517.83
  6. Step 6: Final answer
    x = 39,234.93

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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.