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Finding the Fourth Proportional to 33,188.48, 49,790.64 and 12,412.16

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Solution

The fourth proportional to 33,188.48, 49,790.64 and 12,412.16 is: 18,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.48 : 49,790.64 = 12,412.16 : x
  2. Step 2: Convert to fraction form
    33,188.48/49,790.64 = 12,412.16/x
  3. Step 3: Cross multiply
    33,188.48x = 49,790.64 × 12,412.16
  4. Step 4: Simplify right side
    33,188.48x = 618,009,390.18
  5. Step 5: Solve for x
    x = 618,009,390.18/33,188.48
  6. Step 6: Final answer
    x = 18,621.20

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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.