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Finding the Fourth Proportional to 50,475.72, 69,654 and 29,261.88

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Solution

The fourth proportional to 50,475.72, 69,654 and 29,261.88 is: 40,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,475.72 : 69,654 = 29,261.88 : x
  2. Step 2: Convert to fraction form
    50,475.72/69,654 = 29,261.88/x
  3. Step 3: Cross multiply
    50,475.72x = 69,654 × 29,261.88
  4. Step 4: Simplify right side
    50,475.72x = 2,038,206,989.52
  5. Step 5: Solve for x
    x = 2,038,206,989.52/50,475.72
  6. Step 6: Final answer
    x = 40,379.95

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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.