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Finding the Fourth Proportional to 49,275.84, 73,966.39 and 21,209.80

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Solution

The fourth proportional to 49,275.84, 73,966.39 and 21,209.80 is: 31,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,275.84 : 73,966.39 = 21,209.80 : x
  2. Step 2: Convert to fraction form
    49,275.84/73,966.39 = 21,209.80/x
  3. Step 3: Cross multiply
    49,275.84x = 73,966.39 × 21,209.80
  4. Step 4: Simplify right side
    49,275.84x = 1,568,812,299.02
  5. Step 5: Solve for x
    x = 1,568,812,299.02/49,275.84
  6. Step 6: Final answer
    x = 31,837.35

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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.