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Finding the Fourth Proportional to 49,314, 73,873.26 and 22,982.52

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Solution

The fourth proportional to 49,314, 73,873.26 and 22,982.52 is: 34,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314 : 73,873.26 = 22,982.52 : x
  2. Step 2: Convert to fraction form
    49,314/73,873.26 = 22,982.52/x
  3. Step 3: Cross multiply
    49,314x = 73,873.26 × 22,982.52
  4. Step 4: Simplify right side
    49,314x = 1,697,793,675.42
  5. Step 5: Solve for x
    x = 1,697,793,675.42/49,314
  6. Step 6: Final answer
    x = 34,428.23

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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.