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Finding the Fourth Proportional to 50,874.29, 70,206.52 and 28,216.74

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Solution

The fourth proportional to 50,874.29, 70,206.52 and 28,216.74 is: 38,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874.29 : 70,206.52 = 28,216.74 : x
  2. Step 2: Convert to fraction form
    50,874.29/70,206.52 = 28,216.74/x
  3. Step 3: Cross multiply
    50,874.29x = 70,206.52 × 28,216.74
  4. Step 4: Simplify right side
    50,874.29x = 1,980,999,121.14
  5. Step 5: Solve for x
    x = 1,980,999,121.14/50,874.29
  6. Step 6: Final answer
    x = 38,939.10

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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.