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Finding the Fourth Proportional to 27,435.38, 37,857.78 and 15,496.18

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Solution

The fourth proportional to 27,435.38, 37,857.78 and 15,496.18 is: 21,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435.38 : 37,857.78 = 15,496.18 : x
  2. Step 2: Convert to fraction form
    27,435.38/37,857.78 = 15,496.18/x
  3. Step 3: Cross multiply
    27,435.38x = 37,857.78 × 15,496.18
  4. Step 4: Simplify right side
    27,435.38x = 586,650,878.64
  5. Step 5: Solve for x
    x = 586,650,878.64/27,435.38
  6. Step 6: Final answer
    x = 21,383.01

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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.