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Finding the Fourth Proportional to 29,820.92, 44,733.54 and 9,046.04

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Solution

The fourth proportional to 29,820.92, 44,733.54 and 9,046.04 is: 13,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.92 : 44,733.54 = 9,046.04 : x
  2. Step 2: Convert to fraction form
    29,820.92/44,733.54 = 9,046.04/x
  3. Step 3: Cross multiply
    29,820.92x = 44,733.54 × 9,046.04
  4. Step 4: Simplify right side
    29,820.92x = 404,661,392.18
  5. Step 5: Solve for x
    x = 404,661,392.18/29,820.92
  6. Step 6: Final answer
    x = 13,569.72

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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.