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Finding the Fourth Proportional to 33,206.31, 49,809.56 and 9,513.81

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Solution

The fourth proportional to 33,206.31, 49,809.56 and 9,513.81 is: 14,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206.31 : 49,809.56 = 9,513.81 : x
  2. Step 2: Convert to fraction form
    33,206.31/49,809.56 = 9,513.81/x
  3. Step 3: Cross multiply
    33,206.31x = 49,809.56 × 9,513.81
  4. Step 4: Simplify right side
    33,206.31x = 473,878,642.45
  5. Step 5: Solve for x
    x = 473,878,642.45/33,206.31
  6. Step 6: Final answer
    x = 14,270.74

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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.