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Finding the Fourth Proportional to 50,470.54, 75,717.64 and 15,410.20

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Solution

The fourth proportional to 50,470.54, 75,717.64 and 15,410.20 is: 23,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.54 : 75,717.64 = 15,410.20 : x
  2. Step 2: Convert to fraction form
    50,470.54/75,717.64 = 15,410.20/x
  3. Step 3: Cross multiply
    50,470.54x = 75,717.64 × 15,410.20
  4. Step 4: Simplify right side
    50,470.54x = 1,166,823,975.93
  5. Step 5: Solve for x
    x = 1,166,823,975.93/50,470.54
  6. Step 6: Final answer
    x = 23,118.91

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1.5x scale

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.