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Finding the Fourth Proportional to 71,505.41, 107,224.74 and 26,524.95

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Solution

The fourth proportional to 71,505.41, 107,224.74 and 26,524.95 is: 39,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,505.41 : 107,224.74 = 26,524.95 : x
  2. Step 2: Convert to fraction form
    71,505.41/107,224.74 = 26,524.95/x
  3. Step 3: Cross multiply
    71,505.41x = 107,224.74 × 26,524.95
  4. Step 4: Simplify right side
    71,505.41x = 2,844,130,867.26
  5. Step 5: Solve for x
    x = 2,844,130,867.26/71,505.41
  6. Step 6: Final answer
    x = 39,775.05

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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.