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Finding the Fourth Proportional to 50,595.68, 69,820.20 and 27,934.20

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Solution

The fourth proportional to 50,595.68, 69,820.20 and 27,934.20 is: 38,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,595.68 : 69,820.20 = 27,934.20 : x
  2. Step 2: Convert to fraction form
    50,595.68/69,820.20 = 27,934.20/x
  3. Step 3: Cross multiply
    50,595.68x = 69,820.20 × 27,934.20
  4. Step 4: Simplify right side
    50,595.68x = 1,950,371,430.84
  5. Step 5: Solve for x
    x = 1,950,371,430.84/50,595.68
  6. Step 6: Final answer
    x = 38,548.18

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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.