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Finding the Fourth Proportional to 50,382, 75,576.12 and 15,324.24

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Solution

The fourth proportional to 50,382, 75,576.12 and 15,324.24 is: 22,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,382 : 75,576.12 = 15,324.24 : x
  2. Step 2: Convert to fraction form
    50,382/75,576.12 = 15,324.24/x
  3. Step 3: Cross multiply
    50,382x = 75,576.12 × 15,324.24
  4. Step 4: Simplify right side
    50,382x = 1,158,146,601.15
  5. Step 5: Solve for x
    x = 1,158,146,601.15/50,382
  6. Step 6: Final answer
    x = 22,987.31

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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.