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Finding the Fourth Proportional to 33,065, 49,597.77 and 12,288.50

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Solution

The fourth proportional to 33,065, 49,597.77 and 12,288.50 is: 18,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065 : 49,597.77 = 12,288.50 : x
  2. Step 2: Convert to fraction form
    33,065/49,597.77 = 12,288.50/x
  3. Step 3: Cross multiply
    33,065x = 49,597.77 × 12,288.50
  4. Step 4: Simplify right side
    33,065x = 609,482,196.65
  5. Step 5: Solve for x
    x = 609,482,196.65/33,065
  6. Step 6: Final answer
    x = 18,432.85

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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.