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Finding the Fourth Proportional to 39,097.76, 53,882.55 and 27,767.75

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Solution

The fourth proportional to 39,097.76, 53,882.55 and 27,767.75 is: 38,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.76 : 53,882.55 = 27,767.75 : x
  2. Step 2: Convert to fraction form
    39,097.76/53,882.55 = 27,767.75/x
  3. Step 3: Cross multiply
    39,097.76x = 53,882.55 × 27,767.75
  4. Step 4: Simplify right side
    39,097.76x = 1,496,196,908.35
  5. Step 5: Solve for x
    x = 1,496,196,908.35/39,097.76
  6. Step 6: Final answer
    x = 38,268.10

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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.