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Finding the Fourth Proportional to 50,407.91, 69,563.16 and 27,749.18

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Solution

The fourth proportional to 50,407.91, 69,563.16 and 27,749.18 is: 38,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,407.91 : 69,563.16 = 27,749.18 : x
  2. Step 2: Convert to fraction form
    50,407.91/69,563.16 = 27,749.18/x
  3. Step 3: Cross multiply
    50,407.91x = 69,563.16 × 27,749.18
  4. Step 4: Simplify right side
    50,407.91x = 1,930,320,300.39
  5. Step 5: Solve for x
    x = 1,930,320,300.39/50,407.91
  6. Step 6: Final answer
    x = 38,294.00

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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.