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Finding the Fourth Proportional to 32,591.84, 48,890.37 and 10,408.36

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Solution

The fourth proportional to 32,591.84, 48,890.37 and 10,408.36 is: 15,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.84 : 48,890.37 = 10,408.36 : x
  2. Step 2: Convert to fraction form
    32,591.84/48,890.37 = 10,408.36/x
  3. Step 3: Cross multiply
    32,591.84x = 48,890.37 × 10,408.36
  4. Step 4: Simplify right side
    32,591.84x = 508,868,571.49
  5. Step 5: Solve for x
    x = 508,868,571.49/32,591.84
  6. Step 6: Final answer
    x = 15,613.37

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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.