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Finding the Fourth Proportional to 35,739.82, 49,327.95 and 20,642.23

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Solution

The fourth proportional to 35,739.82, 49,327.95 and 20,642.23 is: 28,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,739.82 : 49,327.95 = 20,642.23 : x
  2. Step 2: Convert to fraction form
    35,739.82/49,327.95 = 20,642.23/x
  3. Step 3: Cross multiply
    35,739.82x = 49,327.95 × 20,642.23
  4. Step 4: Simplify right side
    35,739.82x = 1,018,238,889.33
  5. Step 5: Solve for x
    x = 1,018,238,889.33/35,739.82
  6. Step 6: Final answer
    x = 28,490.32

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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.