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Finding the Fourth Proportional to 29,821.42, 44,734.29 and 9,046.54

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Solution

The fourth proportional to 29,821.42, 44,734.29 and 9,046.54 is: 13,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.42 : 44,734.29 = 9,046.54 : x
  2. Step 2: Convert to fraction form
    29,821.42/44,734.29 = 9,046.54/x
  3. Step 3: Cross multiply
    29,821.42x = 44,734.29 × 9,046.54
  4. Step 4: Simplify right side
    29,821.42x = 404,690,543.86
  5. Step 5: Solve for x
    x = 404,690,543.86/29,821.42
  6. Step 6: Final answer
    x = 13,570.47

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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.