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Finding the Fourth Proportional to 35,776.86, 49,351.59 and 31,538.13

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Solution

The fourth proportional to 35,776.86, 49,351.59 and 31,538.13 is: 43,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.86 : 49,351.59 = 31,538.13 : x
  2. Step 2: Convert to fraction form
    35,776.86/49,351.59 = 31,538.13/x
  3. Step 3: Cross multiply
    35,776.86x = 49,351.59 × 31,538.13
  4. Step 4: Simplify right side
    35,776.86x = 1,556,456,861.13
  5. Step 5: Solve for x
    x = 1,556,456,861.13/35,776.86
  6. Step 6: Final answer
    x = 43,504.57

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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.