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Finding the Fourth Proportional to 81,802.61, 122,706.66 and 22,633.32

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Solution

The fourth proportional to 81,802.61, 122,706.66 and 22,633.32 is: 33,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802.61 : 122,706.66 = 22,633.32 : x
  2. Step 2: Convert to fraction form
    81,802.61/122,706.66 = 22,633.32/x
  3. Step 3: Cross multiply
    81,802.61x = 122,706.66 × 22,633.32
  4. Step 4: Simplify right side
    81,802.61x = 2,777,259,101.91
  5. Step 5: Solve for x
    x = 2,777,259,101.91/81,802.61
  6. Step 6: Final answer
    x = 33,950.74

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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.