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Finding the Fourth Proportional to 29,015, 40,042.32 and 16,443.80

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Solution

The fourth proportional to 29,015, 40,042.32 and 16,443.80 is: 22,693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,015 : 40,042.32 = 16,443.80 : x
  2. Step 2: Convert to fraction form
    29,015/40,042.32 = 16,443.80/x
  3. Step 3: Cross multiply
    29,015x = 40,042.32 × 16,443.80
  4. Step 4: Simplify right side
    29,015x = 658,447,901.62
  5. Step 5: Solve for x
    x = 658,447,901.62/29,015
  6. Step 6: Final answer
    x = 22,693.36

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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.