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Finding the Fourth Proportional to 49,509.53, 74,263.06 and 14,449.49

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Solution

The fourth proportional to 49,509.53, 74,263.06 and 14,449.49 is: 21,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.53 : 74,263.06 = 14,449.49 : x
  2. Step 2: Convert to fraction form
    49,509.53/74,263.06 = 14,449.49/x
  3. Step 3: Cross multiply
    49,509.53x = 74,263.06 × 14,449.49
  4. Step 4: Simplify right side
    49,509.53x = 1,073,063,342.84
  5. Step 5: Solve for x
    x = 1,073,063,342.84/49,509.53
  6. Step 6: Final answer
    x = 21,673.87

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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.