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Finding the Fourth Proportional to 49,471.63, 74,209.50 and 14,411.27

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Solution

The fourth proportional to 49,471.63, 74,209.50 and 14,411.27 is: 21,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,471.63 : 74,209.50 = 14,411.27 : x
  2. Step 2: Convert to fraction form
    49,471.63/74,209.50 = 14,411.27/x
  3. Step 3: Cross multiply
    49,471.63x = 74,209.50 × 14,411.27
  4. Step 4: Simplify right side
    49,471.63x = 1,069,453,326.59
  5. Step 5: Solve for x
    x = 1,069,453,326.59/49,471.63
  6. Step 6: Final answer
    x = 21,617.51

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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.