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Finding the Fourth Proportional to 34,657.60, 47,814.68 and 22,727.56

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Solution

The fourth proportional to 34,657.60, 47,814.68 and 22,727.56 is: 31,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.60 : 47,814.68 = 22,727.56 : x
  2. Step 2: Convert to fraction form
    34,657.60/47,814.68 = 22,727.56/x
  3. Step 3: Cross multiply
    34,657.60x = 47,814.68 × 22,727.56
  4. Step 4: Simplify right side
    34,657.60x = 1,086,711,008.58
  5. Step 5: Solve for x
    x = 1,086,711,008.58/34,657.60
  6. Step 6: Final answer
    x = 31,355.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.