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Finding the Fourth Proportional to 39,097.44, 53,898.48 and 27,900

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Solution

The fourth proportional to 39,097.44, 53,898.48 and 27,900 is: 38,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.44 : 53,898.48 = 27,900 : x
  2. Step 2: Convert to fraction form
    39,097.44/53,898.48 = 27,900/x
  3. Step 3: Cross multiply
    39,097.44x = 53,898.48 × 27,900
  4. Step 4: Simplify right side
    39,097.44x = 1,503,767,592
  5. Step 5: Solve for x
    x = 1,503,767,592/39,097.44
  6. Step 6: Final answer
    x = 38,462.05

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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.