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Finding the Fourth Proportional to 36,409.54, 50,253.36 and 23,827

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Solution

The fourth proportional to 36,409.54, 50,253.36 and 23,827 is: 32,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,409.54 : 50,253.36 = 23,827 : x
  2. Step 2: Convert to fraction form
    36,409.54/50,253.36 = 23,827/x
  3. Step 3: Cross multiply
    36,409.54x = 50,253.36 × 23,827
  4. Step 4: Simplify right side
    36,409.54x = 1,197,386,808.72
  5. Step 5: Solve for x
    x = 1,197,386,808.72/36,409.54
  6. Step 6: Final answer
    x = 32,886.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.