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Finding the Fourth Proportional to 32,194.82, 48,280.40 and 11,129.46

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Solution

The fourth proportional to 32,194.82, 48,280.40 and 11,129.46 is: 16,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.82 : 48,280.40 = 11,129.46 : x
  2. Step 2: Convert to fraction form
    32,194.82/48,280.40 = 11,129.46/x
  3. Step 3: Cross multiply
    32,194.82x = 48,280.40 × 11,129.46
  4. Step 4: Simplify right side
    32,194.82x = 537,334,780.58
  5. Step 5: Solve for x
    x = 537,334,780.58/32,194.82
  6. Step 6: Final answer
    x = 16,690.10

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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.