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Finding the Fourth Proportional to 50,828.99, 70,138.31 and 28,162.32

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Solution

The fourth proportional to 50,828.99, 70,138.31 and 28,162.32 is: 38,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,828.99 : 70,138.31 = 28,162.32 : x
  2. Step 2: Convert to fraction form
    50,828.99/70,138.31 = 28,162.32/x
  3. Step 3: Cross multiply
    50,828.99x = 70,138.31 × 28,162.32
  4. Step 4: Simplify right side
    50,828.99x = 1,975,257,530.48
  5. Step 5: Solve for x
    x = 1,975,257,530.48/50,828.99
  6. Step 6: Final answer
    x = 38,860.85

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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.