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Finding the Fourth Proportional to 33,200.16, 49,800.80 and 12,412.32

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Solution

The fourth proportional to 33,200.16, 49,800.80 and 12,412.32 is: 18,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.16 : 49,800.80 = 12,412.32 : x
  2. Step 2: Convert to fraction form
    33,200.16/49,800.80 = 12,412.32/x
  3. Step 3: Cross multiply
    33,200.16x = 49,800.80 × 12,412.32
  4. Step 4: Simplify right side
    33,200.16x = 618,143,465.86
  5. Step 5: Solve for x
    x = 618,143,465.86/33,200.16
  6. Step 6: Final answer
    x = 18,618.69

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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.