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Finding the Fourth Proportional to 29,442.49, 40,647.22 and 22,713.82

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Solution

The fourth proportional to 29,442.49, 40,647.22 and 22,713.82 is: 31,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442.49 : 40,647.22 = 22,713.82 : x
  2. Step 2: Convert to fraction form
    29,442.49/40,647.22 = 22,713.82/x
  3. Step 3: Cross multiply
    29,442.49x = 40,647.22 × 22,713.82
  4. Step 4: Simplify right side
    29,442.49x = 923,253,480.18
  5. Step 5: Solve for x
    x = 923,253,480.18/29,442.49
  6. Step 6: Final answer
    x = 31,357.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.