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Finding the Fourth Proportional to 29,866, 44,805.42 and 9,874.43

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Solution

The fourth proportional to 29,866, 44,805.42 and 9,874.43 is: 14,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,866 : 44,805.42 = 9,874.43 : x
  2. Step 2: Convert to fraction form
    29,866/44,805.42 = 9,874.43/x
  3. Step 3: Cross multiply
    29,866x = 44,805.42 × 9,874.43
  4. Step 4: Simplify right side
    29,866x = 442,427,983.41
  5. Step 5: Solve for x
    x = 442,427,983.41/29,866
  6. Step 6: Final answer
    x = 14,813.77

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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.