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Finding the Fourth Proportional to 92,033.83, 137,967.70 and 63,967.11

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Solution

The fourth proportional to 92,033.83, 137,967.70 and 63,967.11 is: 95,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,033.83 : 137,967.70 = 63,967.11 : x
  2. Step 2: Convert to fraction form
    92,033.83/137,967.70 = 63,967.11/x
  3. Step 3: Cross multiply
    92,033.83x = 137,967.70 × 63,967.11
  4. Step 4: Simplify right side
    92,033.83x = 8,825,395,042.35
  5. Step 5: Solve for x
    x = 8,825,395,042.35/92,033.83
  6. Step 6: Final answer
    x = 95,892.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.