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Finding the Fourth Proportional to 50,577.76, 69,796.92 and 29,359

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Solution

The fourth proportional to 50,577.76, 69,796.92 and 29,359 is: 40,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,577.76 : 69,796.92 = 29,359 : x
  2. Step 2: Convert to fraction form
    50,577.76/69,796.92 = 29,359/x
  3. Step 3: Cross multiply
    50,577.76x = 69,796.92 × 29,359
  4. Step 4: Simplify right side
    50,577.76x = 2,049,167,774.28
  5. Step 5: Solve for x
    x = 2,049,167,774.28/50,577.76
  6. Step 6: Final answer
    x = 40,515.19

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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.