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Finding the Fourth Proportional to 32,187.80, 48,283.82 and 11,129.87

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Solution

The fourth proportional to 32,187.80, 48,283.82 and 11,129.87 is: 16,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187.80 : 48,283.82 = 11,129.87 : x
  2. Step 2: Convert to fraction form
    32,187.80/48,283.82 = 11,129.87/x
  3. Step 3: Cross multiply
    32,187.80x = 48,283.82 × 11,129.87
  4. Step 4: Simplify right side
    32,187.80x = 537,392,704.76
  5. Step 5: Solve for x
    x = 537,392,704.76/32,187.80
  6. Step 6: Final answer
    x = 16,695.54

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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.