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Finding the Fourth Proportional to 63,178.92, 87,185.77 and 34,884

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Solution

The fourth proportional to 63,178.92, 87,185.77 and 34,884 is: 48,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,178.92 : 87,185.77 = 34,884 : x
  2. Step 2: Convert to fraction form
    63,178.92/87,185.77 = 34,884/x
  3. Step 3: Cross multiply
    63,178.92x = 87,185.77 × 34,884
  4. Step 4: Simplify right side
    63,178.92x = 3,041,388,313.47
  5. Step 5: Solve for x
    x = 3,041,388,313.47/63,178.92
  6. Step 6: Final answer
    x = 48,139.29

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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.