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Finding the Fourth Proportional to 32,567.88, 48,850.02 and 9,193.08

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Solution

The fourth proportional to 32,567.88, 48,850.02 and 9,193.08 is: 13,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567.88 : 48,850.02 = 9,193.08 : x
  2. Step 2: Convert to fraction form
    32,567.88/48,850.02 = 9,193.08/x
  3. Step 3: Cross multiply
    32,567.88x = 48,850.02 × 9,193.08
  4. Step 4: Simplify right side
    32,567.88x = 449,082,141.86
  5. Step 5: Solve for x
    x = 449,082,141.86/32,567.88
  6. Step 6: Final answer
    x = 13,789.11

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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.