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Finding the Fourth Proportional to 81,705.74, 122,565.67 and 22,541.41

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Solution

The fourth proportional to 81,705.74, 122,565.67 and 22,541.41 is: 33,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.74 : 122,565.67 = 22,541.41 : x
  2. Step 2: Convert to fraction form
    81,705.74/122,565.67 = 22,541.41/x
  3. Step 3: Cross multiply
    81,705.74x = 122,565.67 × 22,541.41
  4. Step 4: Simplify right side
    81,705.74x = 2,762,802,656.63
  5. Step 5: Solve for x
    x = 2,762,802,656.63/81,705.74
  6. Step 6: Final answer
    x = 33,814.06

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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.