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Finding the Fourth Proportional to 33,112, 49,667.60 and 13,390.40

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Solution

The fourth proportional to 33,112, 49,667.60 and 13,390.40 is: 20,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112 : 49,667.60 = 13,390.40 : x
  2. Step 2: Convert to fraction form
    33,112/49,667.60 = 13,390.40/x
  3. Step 3: Cross multiply
    33,112x = 49,667.60 × 13,390.40
  4. Step 4: Simplify right side
    33,112x = 665,069,031.04
  5. Step 5: Solve for x
    x = 665,069,031.04/33,112
  6. Step 6: Final answer
    x = 20,085.44

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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.