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Finding the Fourth Proportional to 82,952.92, 124,453.86 and 26,801.92

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Solution

The fourth proportional to 82,952.92, 124,453.86 and 26,801.92 is: 40,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.92 : 124,453.86 = 26,801.92 : x
  2. Step 2: Convert to fraction form
    82,952.92/124,453.86 = 26,801.92/x
  3. Step 3: Cross multiply
    82,952.92x = 124,453.86 × 26,801.92
  4. Step 4: Simplify right side
    82,952.92x = 3,335,602,399.41
  5. Step 5: Solve for x
    x = 3,335,602,399.41/82,952.92
  6. Step 6: Final answer
    x = 40,210.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.