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Finding the Fourth Proportional to 27,039.24, 37,314 and 15,102.52

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Solution

The fourth proportional to 27,039.24, 37,314 and 15,102.52 is: 20,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,039.24 : 37,314 = 15,102.52 : x
  2. Step 2: Convert to fraction form
    27,039.24/37,314 = 15,102.52/x
  3. Step 3: Cross multiply
    27,039.24x = 37,314 × 15,102.52
  4. Step 4: Simplify right side
    27,039.24x = 563,535,431.28
  5. Step 5: Solve for x
    x = 563,535,431.28/27,039.24
  6. Step 6: Final answer
    x = 20,841.39

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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.