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Finding the Fourth Proportional to 38,298.73, 52,843.64 and 23,191.08

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Solution

The fourth proportional to 38,298.73, 52,843.64 and 23,191.08 is: 31,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.73 : 52,843.64 = 23,191.08 : x
  2. Step 2: Convert to fraction form
    38,298.73/52,843.64 = 23,191.08/x
  3. Step 3: Cross multiply
    38,298.73x = 52,843.64 × 23,191.08
  4. Step 4: Simplify right side
    38,298.73x = 1,225,501,418.31
  5. Step 5: Solve for x
    x = 1,225,501,418.31/38,298.73
  6. Step 6: Final answer
    x = 31,998.49

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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.