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Finding the Fourth Proportional to 49,426.63, 74,128.80 and 22,747

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Solution

The fourth proportional to 49,426.63, 74,128.80 and 22,747 is: 34,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,426.63 : 74,128.80 = 22,747 : x
  2. Step 2: Convert to fraction form
    49,426.63/74,128.80 = 22,747/x
  3. Step 3: Cross multiply
    49,426.63x = 74,128.80 × 22,747
  4. Step 4: Simplify right side
    49,426.63x = 1,686,207,813.60
  5. Step 5: Solve for x
    x = 1,686,207,813.60/49,426.63
  6. Step 6: Final answer
    x = 34,115.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.