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Finding the Fourth Proportional to 33,712.88, 50,569.31 and 9,088.88

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Solution

The fourth proportional to 33,712.88, 50,569.31 and 9,088.88 is: 13,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.88 : 50,569.31 = 9,088.88 : x
  2. Step 2: Convert to fraction form
    33,712.88/50,569.31 = 9,088.88/x
  3. Step 3: Cross multiply
    33,712.88x = 50,569.31 × 9,088.88
  4. Step 4: Simplify right side
    33,712.88x = 459,618,160.15
  5. Step 5: Solve for x
    x = 459,618,160.15/33,712.88
  6. Step 6: Final answer
    x = 13,633.31

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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.