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Finding the Fourth Proportional to 38,734.50, 58,102.56 and 11,032.50

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Solution

The fourth proportional to 38,734.50, 58,102.56 and 11,032.50 is: 16,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,734.50 : 58,102.56 = 11,032.50 : x
  2. Step 2: Convert to fraction form
    38,734.50/58,102.56 = 11,032.50/x
  3. Step 3: Cross multiply
    38,734.50x = 58,102.56 × 11,032.50
  4. Step 4: Simplify right side
    38,734.50x = 641,016,493.20
  5. Step 5: Solve for x
    x = 641,016,493.20/38,734.50
  6. Step 6: Final answer
    x = 16,548.98

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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.