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Finding the Fourth Proportional to 82,205.82, 113,373.81 and 56,752.92

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Solution

The fourth proportional to 82,205.82, 113,373.81 and 56,752.92 is: 78,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205.82 : 113,373.81 = 56,752.92 : x
  2. Step 2: Convert to fraction form
    82,205.82/113,373.81 = 56,752.92/x
  3. Step 3: Cross multiply
    82,205.82x = 113,373.81 × 56,752.92
  4. Step 4: Simplify right side
    82,205.82x = 6,434,294,769.03
  5. Step 5: Solve for x
    x = 6,434,294,769.03/82,205.82
  6. Step 6: Final answer
    x = 78,270.55

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Why These Related Problems?

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