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Finding the Fourth Proportional to 27,882.32, 38,477.70 and 15,135.53

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Solution

The fourth proportional to 27,882.32, 38,477.70 and 15,135.53 is: 20,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.32 : 38,477.70 = 15,135.53 : x
  2. Step 2: Convert to fraction form
    27,882.32/38,477.70 = 15,135.53/x
  3. Step 3: Cross multiply
    27,882.32x = 38,477.70 × 15,135.53
  4. Step 4: Simplify right side
    27,882.32x = 582,380,228.13
  5. Step 5: Solve for x
    x = 582,380,228.13/27,882.32
  6. Step 6: Final answer
    x = 20,887.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.