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Finding the Fourth Proportional to 36,011.82, 49,693.94 and 22,582.50

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Solution

The fourth proportional to 36,011.82, 49,693.94 and 22,582.50 is: 31,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,011.82 : 49,693.94 = 22,582.50 : x
  2. Step 2: Convert to fraction form
    36,011.82/49,693.94 = 22,582.50/x
  3. Step 3: Cross multiply
    36,011.82x = 49,693.94 × 22,582.50
  4. Step 4: Simplify right side
    36,011.82x = 1,122,213,400.05
  5. Step 5: Solve for x
    x = 1,122,213,400.05/36,011.82
  6. Step 6: Final answer
    x = 31,162.36

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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.