Home / 27,827.16-41,742.50-9,102.12

Finding the Fourth Proportional to 27,827.16, 41,742.50 and 9,102.12

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Solution

The fourth proportional to 27,827.16, 41,742.50 and 9,102.12 is: 13,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.16 : 41,742.50 = 9,102.12 : x
  2. Step 2: Convert to fraction form
    27,827.16/41,742.50 = 9,102.12/x
  3. Step 3: Cross multiply
    27,827.16x = 41,742.50 × 9,102.12
  4. Step 4: Simplify right side
    27,827.16x = 379,945,198.59
  5. Step 5: Solve for x
    x = 379,945,198.59/27,827.16
  6. Step 6: Final answer
    x = 13,653.75

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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.