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Finding the Fourth Proportional to 71,249.41, 106,824.90 and 31,249.18

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Solution

The fourth proportional to 71,249.41, 106,824.90 and 31,249.18 is: 46,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,249.41 : 106,824.90 = 31,249.18 : x
  2. Step 2: Convert to fraction form
    71,249.41/106,824.90 = 31,249.18/x
  3. Step 3: Cross multiply
    71,249.41x = 106,824.90 × 31,249.18
  4. Step 4: Simplify right side
    71,249.41x = 3,338,190,261.52
  5. Step 5: Solve for x
    x = 3,338,190,261.52/71,249.41
  6. Step 6: Final answer
    x = 46,852.18

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1.5x scale

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.