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Finding the Fourth Proportional to 80,187.50, 120,281.75 and 21,022.64

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Solution

The fourth proportional to 80,187.50, 120,281.75 and 21,022.64 is: 31,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,187.50 : 120,281.75 = 21,022.64 : x
  2. Step 2: Convert to fraction form
    80,187.50/120,281.75 = 21,022.64/x
  3. Step 3: Cross multiply
    80,187.50x = 120,281.75 × 21,022.64
  4. Step 4: Simplify right side
    80,187.50x = 2,528,639,222.30
  5. Step 5: Solve for x
    x = 2,528,639,222.30/80,187.50
  6. Step 6: Final answer
    x = 31,534.08

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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.