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Finding the Fourth Proportional to 99,801.04, 137,721.96 and 59,494

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Solution

The fourth proportional to 99,801.04, 137,721.96 and 59,494 is: 82,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,801.04 : 137,721.96 = 59,494 : x
  2. Step 2: Convert to fraction form
    99,801.04/137,721.96 = 59,494/x
  3. Step 3: Cross multiply
    99,801.04x = 137,721.96 × 59,494
  4. Step 4: Simplify right side
    99,801.04x = 8,193,630,288.24
  5. Step 5: Solve for x
    x = 8,193,630,288.24/99,801.04
  6. Step 6: Final answer
    x = 82,099.65

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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.