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Finding the Fourth Proportional to 29,734.44, 44,601.54 and 7,547.73

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Solution

The fourth proportional to 29,734.44, 44,601.54 and 7,547.73 is: 11,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.44 : 44,601.54 = 7,547.73 : x
  2. Step 2: Convert to fraction form
    29,734.44/44,601.54 = 7,547.73/x
  3. Step 3: Cross multiply
    29,734.44x = 44,601.54 × 7,547.73
  4. Step 4: Simplify right side
    29,734.44x = 336,640,381.50
  5. Step 5: Solve for x
    x = 336,640,381.50/29,734.44
  6. Step 6: Final answer
    x = 11,321.56

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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.