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Finding the Fourth Proportional to 38,614.32, 53,286.66 and 22,697.82

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Solution

The fourth proportional to 38,614.32, 53,286.66 and 22,697.82 is: 31,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614.32 : 53,286.66 = 22,697.82 : x
  2. Step 2: Convert to fraction form
    38,614.32/53,286.66 = 22,697.82/x
  3. Step 3: Cross multiply
    38,614.32x = 53,286.66 × 22,697.82
  4. Step 4: Simplify right side
    38,614.32x = 1,209,491,017.08
  5. Step 5: Solve for x
    x = 1,209,491,017.08/38,614.32
  6. Step 6: Final answer
    x = 31,322.34

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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.