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Finding the Fourth Proportional to 32,085.78, 48,135.96 and 12,101.46

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Solution

The fourth proportional to 32,085.78, 48,135.96 and 12,101.46 is: 18,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.78 : 48,135.96 = 12,101.46 : x
  2. Step 2: Convert to fraction form
    32,085.78/48,135.96 = 12,101.46/x
  3. Step 3: Cross multiply
    32,085.78x = 48,135.96 × 12,101.46
  4. Step 4: Simplify right side
    32,085.78x = 582,515,394.50
  5. Step 5: Solve for x
    x = 582,515,394.50/32,085.78
  6. Step 6: Final answer
    x = 18,154.94

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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.