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Finding the Fourth Proportional to 81,154.90, 111,990.38 and 47,163.11

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Solution

The fourth proportional to 81,154.90, 111,990.38 and 47,163.11 is: 65,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,154.90 : 111,990.38 = 47,163.11 : x
  2. Step 2: Convert to fraction form
    81,154.90/111,990.38 = 47,163.11/x
  3. Step 3: Cross multiply
    81,154.90x = 111,990.38 × 47,163.11
  4. Step 4: Simplify right side
    81,154.90x = 5,281,814,909.32
  5. Step 5: Solve for x
    x = 5,281,814,909.32/81,154.90
  6. Step 6: Final answer
    x = 65,083.13

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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.