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Finding the Fourth Proportional to 33,280.92, 49,929.57 and 9,907.38

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Solution

The fourth proportional to 33,280.92, 49,929.57 and 9,907.38 is: 14,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,280.92 : 49,929.57 = 9,907.38 : x
  2. Step 2: Convert to fraction form
    33,280.92/49,929.57 = 9,907.38/x
  3. Step 3: Cross multiply
    33,280.92x = 49,929.57 × 9,907.38
  4. Step 4: Simplify right side
    33,280.92x = 494,671,223.23
  5. Step 5: Solve for x
    x = 494,671,223.23/33,280.92
  6. Step 6: Final answer
    x = 14,863.51

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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.