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Finding the Fourth Proportional to 82,922.50, 124,383.06 and 23,758.22

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Solution

The fourth proportional to 82,922.50, 124,383.06 and 23,758.22 is: 35,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,922.50 : 124,383.06 = 23,758.22 : x
  2. Step 2: Convert to fraction form
    82,922.50/124,383.06 = 23,758.22/x
  3. Step 3: Cross multiply
    82,922.50x = 124,383.06 × 23,758.22
  4. Step 4: Simplify right side
    82,922.50x = 2,955,120,414.71
  5. Step 5: Solve for x
    x = 2,955,120,414.71/82,922.50
  6. Step 6: Final answer
    x = 35,637.14

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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.