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Finding the Fourth Proportional to 27,249, 37,603.29 and 15,314.36

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Solution

The fourth proportional to 27,249, 37,603.29 and 15,314.36 is: 21,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,249 : 37,603.29 = 15,314.36 : x
  2. Step 2: Convert to fraction form
    27,249/37,603.29 = 15,314.36/x
  3. Step 3: Cross multiply
    27,249x = 37,603.29 × 15,314.36
  4. Step 4: Simplify right side
    27,249x = 575,870,320.24
  5. Step 5: Solve for x
    x = 575,870,320.24/27,249
  6. Step 6: Final answer
    x = 21,133.63

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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.