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Finding the Fourth Proportional to 36,649.86, 54,969.92 and 10,356.65

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Solution

The fourth proportional to 36,649.86, 54,969.92 and 10,356.65 is: 15,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,649.86 : 54,969.92 = 10,356.65 : x
  2. Step 2: Convert to fraction form
    36,649.86/54,969.92 = 10,356.65/x
  3. Step 3: Cross multiply
    36,649.86x = 54,969.92 × 10,356.65
  4. Step 4: Simplify right side
    36,649.86x = 569,304,221.97
  5. Step 5: Solve for x
    x = 569,304,221.97/36,649.86
  6. Step 6: Final answer
    x = 15,533.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.