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Finding the Fourth Proportional to 50,823.62, 70,135.54 and 28,162.41

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Solution

The fourth proportional to 50,823.62, 70,135.54 and 28,162.41 is: 38,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823.62 : 70,135.54 = 28,162.41 : x
  2. Step 2: Convert to fraction form
    50,823.62/70,135.54 = 28,162.41/x
  3. Step 3: Cross multiply
    50,823.62x = 70,135.54 × 28,162.41
  4. Step 4: Simplify right side
    50,823.62x = 1,975,185,341.56
  5. Step 5: Solve for x
    x = 1,975,185,341.56/50,823.62
  6. Step 6: Final answer
    x = 38,863.54

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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.