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Finding the Fourth Proportional to 51,054.48, 76,619.16 and 33,518.16

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Solution

The fourth proportional to 51,054.48, 76,619.16 and 33,518.16 is: 50,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,054.48 : 76,619.16 = 33,518.16 : x
  2. Step 2: Convert to fraction form
    51,054.48/76,619.16 = 33,518.16/x
  3. Step 3: Cross multiply
    51,054.48x = 76,619.16 × 33,518.16
  4. Step 4: Simplify right side
    51,054.48x = 2,568,133,263.95
  5. Step 5: Solve for x
    x = 2,568,133,263.95/51,054.48
  6. Step 6: Final answer
    x = 50,301.82

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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.