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Finding the Fourth Proportional to 82,924.50, 124,406.19 and 27,520.50

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Solution

The fourth proportional to 82,924.50, 124,406.19 and 27,520.50 is: 41,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924.50 : 124,406.19 = 27,520.50 : x
  2. Step 2: Convert to fraction form
    82,924.50/124,406.19 = 27,520.50/x
  3. Step 3: Cross multiply
    82,924.50x = 124,406.19 × 27,520.50
  4. Step 4: Simplify right side
    82,924.50x = 3,423,720,551.90
  5. Step 5: Solve for x
    x = 3,423,720,551.90/82,924.50
  6. Step 6: Final answer
    x = 41,287.20

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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.