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Finding the Fourth Proportional to 32,679.18, 49,026.15 and 11,902.50

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Solution

The fourth proportional to 32,679.18, 49,026.15 and 11,902.50 is: 17,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679.18 : 49,026.15 = 11,902.50 : x
  2. Step 2: Convert to fraction form
    32,679.18/49,026.15 = 11,902.50/x
  3. Step 3: Cross multiply
    32,679.18x = 49,026.15 × 11,902.50
  4. Step 4: Simplify right side
    32,679.18x = 583,533,750.38
  5. Step 5: Solve for x
    x = 583,533,750.38/32,679.18
  6. Step 6: Final answer
    x = 17,856.44

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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.