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Finding the Fourth Proportional to 38,505.42, 53,150.04 and 22,589.46

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Solution

The fourth proportional to 38,505.42, 53,150.04 and 22,589.46 is: 31,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.42 : 53,150.04 = 22,589.46 : x
  2. Step 2: Convert to fraction form
    38,505.42/53,150.04 = 22,589.46/x
  3. Step 3: Cross multiply
    38,505.42x = 53,150.04 × 22,589.46
  4. Step 4: Simplify right side
    38,505.42x = 1,200,630,702.58
  5. Step 5: Solve for x
    x = 1,200,630,702.58/38,505.42
  6. Step 6: Final answer
    x = 31,180.82

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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.