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Finding the Fourth Proportional to 27,094, 37,388.68 and 15,158.44

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Solution

The fourth proportional to 27,094, 37,388.68 and 15,158.44 is: 20,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094 : 37,388.68 = 15,158.44 : x
  2. Step 2: Convert to fraction form
    27,094/37,388.68 = 15,158.44/x
  3. Step 3: Cross multiply
    27,094x = 37,388.68 × 15,158.44
  4. Step 4: Simplify right side
    27,094x = 566,754,062.46
  5. Step 5: Solve for x
    x = 566,754,062.46/27,094
  6. Step 6: Final answer
    x = 20,918.07

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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.