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Finding the Fourth Proportional to 32,409.89, 48,616.37 and 15,750.08

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Solution

The fourth proportional to 32,409.89, 48,616.37 and 15,750.08 is: 23,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.89 : 48,616.37 = 15,750.08 : x
  2. Step 2: Convert to fraction form
    32,409.89/48,616.37 = 15,750.08/x
  3. Step 3: Cross multiply
    32,409.89x = 48,616.37 × 15,750.08
  4. Step 4: Simplify right side
    32,409.89x = 765,711,716.81
  5. Step 5: Solve for x
    x = 765,711,716.81/32,409.89
  6. Step 6: Final answer
    x = 23,625.87

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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.