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Finding the Fourth Proportional to 35,687.83, 49,226.92 and 22,957.61

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Solution

The fourth proportional to 35,687.83, 49,226.92 and 22,957.61 is: 31,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.83 : 49,226.92 = 22,957.61 : x
  2. Step 2: Convert to fraction form
    35,687.83/49,226.92 = 22,957.61/x
  3. Step 3: Cross multiply
    35,687.83x = 49,226.92 × 22,957.61
  4. Step 4: Simplify right side
    35,687.83x = 1,130,132,184.73
  5. Step 5: Solve for x
    x = 1,130,132,184.73/35,687.83
  6. Step 6: Final answer
    x = 31,667.16

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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.