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Finding the Fourth Proportional to 50,473.92, 75,718.20 and 15,409.02

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Solution

The fourth proportional to 50,473.92, 75,718.20 and 15,409.02 is: 23,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,473.92 : 75,718.20 = 15,409.02 : x
  2. Step 2: Convert to fraction form
    50,473.92/75,718.20 = 15,409.02/x
  3. Step 3: Cross multiply
    50,473.92x = 75,718.20 × 15,409.02
  4. Step 4: Simplify right side
    50,473.92x = 1,166,743,258.16
  5. Step 5: Solve for x
    x = 1,166,743,258.16/50,473.92
  6. Step 6: Final answer
    x = 23,115.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.