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Finding the Fourth Proportional to 33,322.16, 49,986.16 and 13,602.08

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Solution

The fourth proportional to 33,322.16, 49,986.16 and 13,602.08 is: 20,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,322.16 : 49,986.16 = 13,602.08 : x
  2. Step 2: Convert to fraction form
    33,322.16/49,986.16 = 13,602.08/x
  3. Step 3: Cross multiply
    33,322.16x = 49,986.16 × 13,602.08
  4. Step 4: Simplify right side
    33,322.16x = 679,915,747.21
  5. Step 5: Solve for x
    x = 679,915,747.21/33,322.16
  6. Step 6: Final answer
    x = 20,404.31

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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.