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Finding the Fourth Proportional to 50,687.83, 69,944.27 and 28,023.72

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Solution

The fourth proportional to 50,687.83, 69,944.27 and 28,023.72 is: 38,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,687.83 : 69,944.27 = 28,023.72 : x
  2. Step 2: Convert to fraction form
    50,687.83/69,944.27 = 28,023.72/x
  3. Step 3: Cross multiply
    50,687.83x = 69,944.27 × 28,023.72
  4. Step 4: Simplify right side
    50,687.83x = 1,960,098,148.24
  5. Step 5: Solve for x
    x = 1,960,098,148.24/50,687.83
  6. Step 6: Final answer
    x = 38,670.00

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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.