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Finding the Fourth Proportional to 32,853.84, 49,304.52 and 13,137.90

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Solution

The fourth proportional to 32,853.84, 49,304.52 and 13,137.90 is: 19,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.84 : 49,304.52 = 13,137.90 : x
  2. Step 2: Convert to fraction form
    32,853.84/49,304.52 = 13,137.90/x
  3. Step 3: Cross multiply
    32,853.84x = 49,304.52 × 13,137.90
  4. Step 4: Simplify right side
    32,853.84x = 647,757,853.31
  5. Step 5: Solve for x
    x = 647,757,853.31/32,853.84
  6. Step 6: Final answer
    x = 19,716.35

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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.