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Finding the Fourth Proportional to 72,876.24, 109,321.58 and 20,285.71

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Solution

The fourth proportional to 72,876.24, 109,321.58 and 20,285.71 is: 30,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,876.24 : 109,321.58 = 20,285.71 : x
  2. Step 2: Convert to fraction form
    72,876.24/109,321.58 = 20,285.71/x
  3. Step 3: Cross multiply
    72,876.24x = 109,321.58 × 20,285.71
  4. Step 4: Simplify right side
    72,876.24x = 2,217,665,646.03
  5. Step 5: Solve for x
    x = 2,217,665,646.03/72,876.24
  6. Step 6: Final answer
    x = 30,430.57

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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.