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Finding the Fourth Proportional to 35,782.92, 49,338.36 and 29,047.32

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Solution

The fourth proportional to 35,782.92, 49,338.36 and 29,047.32 is: 40,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.92 : 49,338.36 = 29,047.32 : x
  2. Step 2: Convert to fraction form
    35,782.92/49,338.36 = 29,047.32/x
  3. Step 3: Cross multiply
    35,782.92x = 49,338.36 × 29,047.32
  4. Step 4: Simplify right side
    35,782.92x = 1,433,147,131.20
  5. Step 5: Solve for x
    x = 1,433,147,131.20/35,782.92
  6. Step 6: Final answer
    x = 40,051.15

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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.