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Finding the Fourth Proportional to 27,402.82, 37,811.84 and 16,642.10

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Solution

The fourth proportional to 27,402.82, 37,811.84 and 16,642.10 is: 22,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.82 : 37,811.84 = 16,642.10 : x
  2. Step 2: Convert to fraction form
    27,402.82/37,811.84 = 16,642.10/x
  3. Step 3: Cross multiply
    27,402.82x = 37,811.84 × 16,642.10
  4. Step 4: Simplify right side
    27,402.82x = 629,268,422.46
  5. Step 5: Solve for x
    x = 629,268,422.46/27,402.82
  6. Step 6: Final answer
    x = 22,963.64

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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.