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Finding the Fourth Proportional to 82,891.32, 124,354.26 and 27,483

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Solution

The fourth proportional to 82,891.32, 124,354.26 and 27,483 is: 41,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,891.32 : 124,354.26 = 27,483 : x
  2. Step 2: Convert to fraction form
    82,891.32/124,354.26 = 27,483/x
  3. Step 3: Cross multiply
    82,891.32x = 124,354.26 × 27,483
  4. Step 4: Simplify right side
    82,891.32x = 3,417,628,127.58
  5. Step 5: Solve for x
    x = 3,417,628,127.58/82,891.32
  6. Step 6: Final answer
    x = 41,230.23

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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.