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Finding the Fourth Proportional to 71,511.71, 107,232.66 and 21,582.50

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Solution

The fourth proportional to 71,511.71, 107,232.66 and 21,582.50 is: 32,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,511.71 : 107,232.66 = 21,582.50 : x
  2. Step 2: Convert to fraction form
    71,511.71/107,232.66 = 21,582.50/x
  3. Step 3: Cross multiply
    71,511.71x = 107,232.66 × 21,582.50
  4. Step 4: Simplify right side
    71,511.71x = 2,314,348,348.29
  5. Step 5: Solve for x
    x = 2,314,348,348.29/71,511.71
  6. Step 6: Final answer
    x = 32,363.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.