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Finding the Fourth Proportional to 38,104.32, 52,579.62 and 22,185.40

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Solution

The fourth proportional to 38,104.32, 52,579.62 and 22,185.40 is: 30,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104.32 : 52,579.62 = 22,185.40 : x
  2. Step 2: Convert to fraction form
    38,104.32/52,579.62 = 22,185.40/x
  3. Step 3: Cross multiply
    38,104.32x = 52,579.62 × 22,185.40
  4. Step 4: Simplify right side
    38,104.32x = 1,166,499,901.55
  5. Step 5: Solve for x
    x = 1,166,499,901.55/38,104.32
  6. Step 6: Final answer
    x = 30,613.32

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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.