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Finding the Fourth Proportional to 40,563.84, 55,976.88 and 22,658.40

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Solution

The fourth proportional to 40,563.84, 55,976.88 and 22,658.40 is: 31,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,563.84 : 55,976.88 = 22,658.40 : x
  2. Step 2: Convert to fraction form
    40,563.84/55,976.88 = 22,658.40/x
  3. Step 3: Cross multiply
    40,563.84x = 55,976.88 × 22,658.40
  4. Step 4: Simplify right side
    40,563.84x = 1,268,346,537.79
  5. Step 5: Solve for x
    x = 1,268,346,537.79/40,563.84
  6. Step 6: Final answer
    x = 31,267.91

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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.