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Finding the Fourth Proportional to 82,209.33, 113,513.81 and 53,542.62

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Solution

The fourth proportional to 82,209.33, 113,513.81 and 53,542.62 is: 73,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,209.33 : 113,513.81 = 53,542.62 : x
  2. Step 2: Convert to fraction form
    82,209.33/113,513.81 = 53,542.62/x
  3. Step 3: Cross multiply
    82,209.33x = 113,513.81 × 53,542.62
  4. Step 4: Simplify right side
    82,209.33x = 6,077,826,525.87
  5. Step 5: Solve for x
    x = 6,077,826,525.87/82,209.33
  6. Step 6: Final answer
    x = 73,931.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.