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Finding the Fourth Proportional to 49,643.40, 74,464.50 and 14,581.80

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Solution

The fourth proportional to 49,643.40, 74,464.50 and 14,581.80 is: 21,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,643.40 : 74,464.50 = 14,581.80 : x
  2. Step 2: Convert to fraction form
    49,643.40/74,464.50 = 14,581.80/x
  3. Step 3: Cross multiply
    49,643.40x = 74,464.50 × 14,581.80
  4. Step 4: Simplify right side
    49,643.40x = 1,085,826,446.10
  5. Step 5: Solve for x
    x = 1,085,826,446.10/49,643.40
  6. Step 6: Final answer
    x = 21,872.52

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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.