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Finding the Fourth Proportional to 50,684.88, 69,944.04 and 28,023

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Solution

The fourth proportional to 50,684.88, 69,944.04 and 28,023 is: 38,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,684.88 : 69,944.04 = 28,023 : x
  2. Step 2: Convert to fraction form
    50,684.88/69,944.04 = 28,023/x
  3. Step 3: Cross multiply
    50,684.88x = 69,944.04 × 28,023
  4. Step 4: Simplify right side
    50,684.88x = 1,960,041,832.92
  5. Step 5: Solve for x
    x = 1,960,041,832.92/50,684.88
  6. Step 6: Final answer
    x = 38,671.13

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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.