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Finding the Fourth Proportional to 29,014, 40,040.94 and 16,442.80

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Solution

The fourth proportional to 29,014, 40,040.94 and 16,442.80 is: 22,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,014 : 40,040.94 = 16,442.80 : x
  2. Step 2: Convert to fraction form
    29,014/40,040.94 = 16,442.80/x
  3. Step 3: Cross multiply
    29,014x = 40,040.94 × 16,442.80
  4. Step 4: Simplify right side
    29,014x = 658,385,168.23
  5. Step 5: Solve for x
    x = 658,385,168.23/29,014
  6. Step 6: Final answer
    x = 22,691.98

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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.