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Finding the Fourth Proportional to 49,509.65, 74,263.25 and 14,449.61

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Solution

The fourth proportional to 49,509.65, 74,263.25 and 14,449.61 is: 21,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.65 : 74,263.25 = 14,449.61 : x
  2. Step 2: Convert to fraction form
    49,509.65/74,263.25 = 14,449.61/x
  3. Step 3: Cross multiply
    49,509.65x = 74,263.25 × 14,449.61
  4. Step 4: Simplify right side
    49,509.65x = 1,073,075,221.61
  5. Step 5: Solve for x
    x = 1,073,075,221.61/49,509.65
  6. Step 6: Final answer
    x = 21,674.06

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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.