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Finding the Fourth Proportional to 35,618.06, 49,158 and 20,509.22

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Solution

The fourth proportional to 35,618.06, 49,158 and 20,509.22 is: 28,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,618.06 : 49,158 = 20,509.22 : x
  2. Step 2: Convert to fraction form
    35,618.06/49,158 = 20,509.22/x
  3. Step 3: Cross multiply
    35,618.06x = 49,158 × 20,509.22
  4. Step 4: Simplify right side
    35,618.06x = 1,008,191,990.97
  5. Step 5: Solve for x
    x = 1,008,191,990.97/35,618.06
  6. Step 6: Final answer
    x = 28,305.64

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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.