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Finding the Fourth Proportional to 33,038.60, 49,531.72 and 16,394.18

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Solution

The fourth proportional to 33,038.60, 49,531.72 and 16,394.18 is: 24,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.60 : 49,531.72 = 16,394.18 : x
  2. Step 2: Convert to fraction form
    33,038.60/49,531.72 = 16,394.18/x
  3. Step 3: Cross multiply
    33,038.60x = 49,531.72 × 16,394.18
  4. Step 4: Simplify right side
    33,038.60x = 812,031,933.39
  5. Step 5: Solve for x
    x = 812,031,933.39/33,038.60
  6. Step 6: Final answer
    x = 24,578.28

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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.