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Finding the Fourth Proportional to 32,548.78, 48,805.80 and 15,433.66

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Solution

The fourth proportional to 32,548.78, 48,805.80 and 15,433.66 is: 23,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.78 : 48,805.80 = 15,433.66 : x
  2. Step 2: Convert to fraction form
    32,548.78/48,805.80 = 15,433.66/x
  3. Step 3: Cross multiply
    32,548.78x = 48,805.80 × 15,433.66
  4. Step 4: Simplify right side
    32,548.78x = 753,252,123.23
  5. Step 5: Solve for x
    x = 753,252,123.23/32,548.78
  6. Step 6: Final answer
    x = 23,142.25

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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.