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Finding the Fourth Proportional to 50,715.36, 69,982.92 and 30,296.88

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Solution

The fourth proportional to 50,715.36, 69,982.92 and 30,296.88 is: 41,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,715.36 : 69,982.92 = 30,296.88 : x
  2. Step 2: Convert to fraction form
    50,715.36/69,982.92 = 30,296.88/x
  3. Step 3: Cross multiply
    50,715.36x = 69,982.92 × 30,296.88
  4. Step 4: Simplify right side
    50,715.36x = 2,120,264,129.29
  5. Step 5: Solve for x
    x = 2,120,264,129.29/50,715.36
  6. Step 6: Final answer
    x = 41,807.14

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1.5x scale

Why These Related Problems?

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