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Finding the Fourth Proportional to 33,437.70, 50,184.90 and 13,730.40

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Solution

The fourth proportional to 33,437.70, 50,184.90 and 13,730.40 is: 20,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,437.70 : 50,184.90 = 13,730.40 : x
  2. Step 2: Convert to fraction form
    33,437.70/50,184.90 = 13,730.40/x
  3. Step 3: Cross multiply
    33,437.70x = 50,184.90 × 13,730.40
  4. Step 4: Simplify right side
    33,437.70x = 689,058,750.96
  5. Step 5: Solve for x
    x = 689,058,750.96/33,437.70
  6. Step 6: Final answer
    x = 20,607.24

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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.