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Finding the Fourth Proportional to 59,066.82, 81,509.22 and 32,209.38

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Solution

The fourth proportional to 59,066.82, 81,509.22 and 32,209.38 is: 44,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,066.82 : 81,509.22 = 32,209.38 : x
  2. Step 2: Convert to fraction form
    59,066.82/81,509.22 = 32,209.38/x
  3. Step 3: Cross multiply
    59,066.82x = 81,509.22 × 32,209.38
  4. Step 4: Simplify right side
    59,066.82x = 2,625,361,440.48
  5. Step 5: Solve for x
    x = 2,625,361,440.48/59,066.82
  6. Step 6: Final answer
    x = 44,447.31

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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.