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Finding the Fourth Proportional to 29,219.80, 43,862.10 and 16,097.80

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Solution

The fourth proportional to 29,219.80, 43,862.10 and 16,097.80 is: 24,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219.80 : 43,862.10 = 16,097.80 : x
  2. Step 2: Convert to fraction form
    29,219.80/43,862.10 = 16,097.80/x
  3. Step 3: Cross multiply
    29,219.80x = 43,862.10 × 16,097.80
  4. Step 4: Simplify right side
    29,219.80x = 706,083,313.38
  5. Step 5: Solve for x
    x = 706,083,313.38/29,219.80
  6. Step 6: Final answer
    x = 24,164.55

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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.