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Finding the Fourth Proportional to 32,187.87, 48,272.36 and 12,461.72

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Solution

The fourth proportional to 32,187.87, 48,272.36 and 12,461.72 is: 18,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187.87 : 48,272.36 = 12,461.72 : x
  2. Step 2: Convert to fraction form
    32,187.87/48,272.36 = 12,461.72/x
  3. Step 3: Cross multiply
    32,187.87x = 48,272.36 × 12,461.72
  4. Step 4: Simplify right side
    32,187.87x = 601,556,330.39
  5. Step 5: Solve for x
    x = 601,556,330.39/32,187.87
  6. Step 6: Final answer
    x = 18,688.91

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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.