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Finding the Fourth Proportional to 27,519.58, 37,978.17 and 16,189.61

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Solution

The fourth proportional to 27,519.58, 37,978.17 and 16,189.61 is: 22,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,519.58 : 37,978.17 = 16,189.61 : x
  2. Step 2: Convert to fraction form
    27,519.58/37,978.17 = 16,189.61/x
  3. Step 3: Cross multiply
    27,519.58x = 37,978.17 × 16,189.61
  4. Step 4: Simplify right side
    27,519.58x = 614,851,510.21
  5. Step 5: Solve for x
    x = 614,851,510.21/27,519.58
  6. Step 6: Final answer
    x = 22,342.33

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1.5x scale

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.