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Finding the Fourth Proportional to 32,206.71, 48,324.45 and 12,486.81

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Solution

The fourth proportional to 32,206.71, 48,324.45 and 12,486.81 is: 18,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.71 : 48,324.45 = 12,486.81 : x
  2. Step 2: Convert to fraction form
    32,206.71/48,324.45 = 12,486.81/x
  3. Step 3: Cross multiply
    32,206.71x = 48,324.45 × 12,486.81
  4. Step 4: Simplify right side
    32,206.71x = 603,418,111.48
  5. Step 5: Solve for x
    x = 603,418,111.48/32,206.71
  6. Step 6: Final answer
    x = 18,735.79

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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.