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Finding the Fourth Proportional to 32,567.41, 48,850.98 and 9,193.78

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Solution

The fourth proportional to 32,567.41, 48,850.98 and 9,193.78 is: 13,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567.41 : 48,850.98 = 9,193.78 : x
  2. Step 2: Convert to fraction form
    32,567.41/48,850.98 = 9,193.78/x
  3. Step 3: Cross multiply
    32,567.41x = 48,850.98 × 9,193.78
  4. Step 4: Simplify right side
    32,567.41x = 449,125,162.90
  5. Step 5: Solve for x
    x = 449,125,162.90/32,567.41
  6. Step 6: Final answer
    x = 13,790.63

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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.