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Finding the Fourth Proportional to 33,214.15, 49,821.15 and 13,488.08

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Solution

The fourth proportional to 33,214.15, 49,821.15 and 13,488.08 is: 20,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.15 : 49,821.15 = 13,488.08 : x
  2. Step 2: Convert to fraction form
    33,214.15/49,821.15 = 13,488.08/x
  3. Step 3: Cross multiply
    33,214.15x = 49,821.15 × 13,488.08
  4. Step 4: Simplify right side
    33,214.15x = 671,991,656.89
  5. Step 5: Solve for x
    x = 671,991,656.89/33,214.15
  6. Step 6: Final answer
    x = 20,232.09

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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.