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Finding the Fourth Proportional to 50,444.64, 69,613.92 and 27,786.24

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Solution

The fourth proportional to 50,444.64, 69,613.92 and 27,786.24 is: 38,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,444.64 : 69,613.92 = 27,786.24 : x
  2. Step 2: Convert to fraction form
    50,444.64/69,613.92 = 27,786.24/x
  3. Step 3: Cross multiply
    50,444.64x = 69,613.92 × 27,786.24
  4. Step 4: Simplify right side
    50,444.64x = 1,934,309,088.46
  5. Step 5: Solve for x
    x = 1,934,309,088.46/50,444.64
  6. Step 6: Final answer
    x = 38,345.19

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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.