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Finding the Fourth Proportional to 36,211.30, 49,878.12 and 25,582.48

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Solution

The fourth proportional to 36,211.30, 49,878.12 and 25,582.48 is: 35,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,211.30 : 49,878.12 = 25,582.48 : x
  2. Step 2: Convert to fraction form
    36,211.30/49,878.12 = 25,582.48/x
  3. Step 3: Cross multiply
    36,211.30x = 49,878.12 × 25,582.48
  4. Step 4: Simplify right side
    36,211.30x = 1,276,006,007.34
  5. Step 5: Solve for x
    x = 1,276,006,007.34/36,211.30
  6. Step 6: Final answer
    x = 35,237.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.