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Finding the Fourth Proportional to 50,930.43, 70,284.77 and 27,962.15

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Solution

The fourth proportional to 50,930.43, 70,284.77 and 27,962.15 is: 38,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,930.43 : 70,284.77 = 27,962.15 : x
  2. Step 2: Convert to fraction form
    50,930.43/70,284.77 = 27,962.15/x
  3. Step 3: Cross multiply
    50,930.43x = 70,284.77 × 27,962.15
  4. Step 4: Simplify right side
    50,930.43x = 1,965,312,790.22
  5. Step 5: Solve for x
    x = 1,965,312,790.22/50,930.43
  6. Step 6: Final answer
    x = 38,588.18

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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.