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Finding the Fourth Proportional to 33,062.78, 49,594.17 and 9,689.22

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Solution

The fourth proportional to 33,062.78, 49,594.17 and 9,689.22 is: 14,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,062.78 : 49,594.17 = 9,689.22 : x
  2. Step 2: Convert to fraction form
    33,062.78/49,594.17 = 9,689.22/x
  3. Step 3: Cross multiply
    33,062.78x = 49,594.17 × 9,689.22
  4. Step 4: Simplify right side
    33,062.78x = 480,528,860.18
  5. Step 5: Solve for x
    x = 480,528,860.18/33,062.78
  6. Step 6: Final answer
    x = 14,533.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.