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Finding the Fourth Proportional to 38,362.82, 52,920.42 and 26,405.40

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Solution

The fourth proportional to 38,362.82, 52,920.42 and 26,405.40 is: 36,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362.82 : 52,920.42 = 26,405.40 : x
  2. Step 2: Convert to fraction form
    38,362.82/52,920.42 = 26,405.40/x
  3. Step 3: Cross multiply
    38,362.82x = 52,920.42 × 26,405.40
  4. Step 4: Simplify right side
    38,362.82x = 1,397,384,858.27
  5. Step 5: Solve for x
    x = 1,397,384,858.27/38,362.82
  6. Step 6: Final answer
    x = 36,425.50

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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.