Home / 27,830.28-41,752.25-8,109.02

Finding the Fourth Proportional to 27,830.28, 41,752.25 and 8,109.02

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Solution

The fourth proportional to 27,830.28, 41,752.25 and 8,109.02 is: 12,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.28 : 41,752.25 = 8,109.02 : x
  2. Step 2: Convert to fraction form
    27,830.28/41,752.25 = 8,109.02/x
  3. Step 3: Cross multiply
    27,830.28x = 41,752.25 × 8,109.02
  4. Step 4: Simplify right side
    27,830.28x = 338,569,830.30
  5. Step 5: Solve for x
    x = 338,569,830.30/27,830.28
  6. Step 6: Final answer
    x = 12,165.52

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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.