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Finding the Fourth Proportional to 82,652.62, 114,115.54 and 63,498.28

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Solution

The fourth proportional to 82,652.62, 114,115.54 and 63,498.28 is: 87,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,652.62 : 114,115.54 = 63,498.28 : x
  2. Step 2: Convert to fraction form
    82,652.62/114,115.54 = 63,498.28/x
  3. Step 3: Cross multiply
    82,652.62x = 114,115.54 × 63,498.28
  4. Step 4: Simplify right side
    82,652.62x = 7,246,140,511.27
  5. Step 5: Solve for x
    x = 7,246,140,511.27/82,652.62
  6. Step 6: Final answer
    x = 87,669.82

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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.