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Finding the Fourth Proportional to 38,468.82, 53,095.83 and 22,558.40

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Solution

The fourth proportional to 38,468.82, 53,095.83 and 22,558.40 is: 31,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.82 : 53,095.83 = 22,558.40 : x
  2. Step 2: Convert to fraction form
    38,468.82/53,095.83 = 22,558.40/x
  3. Step 3: Cross multiply
    38,468.82x = 53,095.83 × 22,558.40
  4. Step 4: Simplify right side
    38,468.82x = 1,197,756,734.62
  5. Step 5: Solve for x
    x = 1,197,756,734.62/38,468.82
  6. Step 6: Final answer
    x = 31,135.78

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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.