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Finding the Fourth Proportional to 50,874.86, 70,207.94 and 28,214.17

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Solution

The fourth proportional to 50,874.86, 70,207.94 and 28,214.17 is: 38,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874.86 : 70,207.94 = 28,214.17 : x
  2. Step 2: Convert to fraction form
    50,874.86/70,207.94 = 28,214.17/x
  3. Step 3: Cross multiply
    50,874.86x = 70,207.94 × 28,214.17
  4. Step 4: Simplify right side
    50,874.86x = 1,980,858,754.51
  5. Step 5: Solve for x
    x = 1,980,858,754.51/50,874.86
  6. Step 6: Final answer
    x = 38,935.91

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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.