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Finding the Fourth Proportional to 41,646.87, 57,474.04 and 22,784

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Solution

The fourth proportional to 41,646.87, 57,474.04 and 22,784 is: 31,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.87 : 57,474.04 = 22,784 : x
  2. Step 2: Convert to fraction form
    41,646.87/57,474.04 = 22,784/x
  3. Step 3: Cross multiply
    41,646.87x = 57,474.04 × 22,784
  4. Step 4: Simplify right side
    41,646.87x = 1,309,488,527.36
  5. Step 5: Solve for x
    x = 1,309,488,527.36/41,646.87
  6. Step 6: Final answer
    x = 31,442.66

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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.