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Finding the Fourth Proportional to 27,097.51, 40,849.36 and 25,291.21

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Solution

The fourth proportional to 27,097.51, 40,849.36 and 25,291.21 is: 38,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.51 : 40,849.36 = 25,291.21 : x
  2. Step 2: Convert to fraction form
    27,097.51/40,849.36 = 25,291.21/x
  3. Step 3: Cross multiply
    27,097.51x = 40,849.36 × 25,291.21
  4. Step 4: Simplify right side
    27,097.51x = 1,033,129,742.13
  5. Step 5: Solve for x
    x = 1,033,129,742.13/27,097.51
  6. Step 6: Final answer
    x = 38,126.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.