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Finding the Fourth Proportional to 32,854.71, 45,359.60 and 21,380.56

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Solution

The fourth proportional to 32,854.71, 45,359.60 and 21,380.56 is: 29,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.71 : 45,359.60 = 21,380.56 : x
  2. Step 2: Convert to fraction form
    32,854.71/45,359.60 = 21,380.56/x
  3. Step 3: Cross multiply
    32,854.71x = 45,359.60 × 21,380.56
  4. Step 4: Simplify right side
    32,854.71x = 969,813,429.07
  5. Step 5: Solve for x
    x = 969,813,429.07/32,854.71
  6. Step 6: Final answer
    x = 29,518.24

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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.