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Finding the Fourth Proportional to 27,055, 37,339.14 and 15,877

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Solution

The fourth proportional to 27,055, 37,339.14 and 15,877 is: 21,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055 : 37,339.14 = 15,877 : x
  2. Step 2: Convert to fraction form
    27,055/37,339.14 = 15,877/x
  3. Step 3: Cross multiply
    27,055x = 37,339.14 × 15,877
  4. Step 4: Simplify right side
    27,055x = 592,833,525.78
  5. Step 5: Solve for x
    x = 592,833,525.78/27,055
  6. Step 6: Final answer
    x = 21,912.16

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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.