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Finding the Fourth Proportional to 32,754.66, 49,133.79 and 30,983.19

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Solution

The fourth proportional to 32,754.66, 49,133.79 and 30,983.19 is: 46,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.66 : 49,133.79 = 30,983.19 : x
  2. Step 2: Convert to fraction form
    32,754.66/49,133.79 = 30,983.19/x
  3. Step 3: Cross multiply
    32,754.66x = 49,133.79 × 30,983.19
  4. Step 4: Simplify right side
    32,754.66x = 1,522,321,550.99
  5. Step 5: Solve for x
    x = 1,522,321,550.99/32,754.66
  6. Step 6: Final answer
    x = 46,476.49

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Why These Related Problems?

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