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Finding the Fourth Proportional to 90,048.24, 134,978.48 and 33,849.64

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Solution

The fourth proportional to 90,048.24, 134,978.48 and 33,849.64 is: 50,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,048.24 : 134,978.48 = 33,849.64 : x
  2. Step 2: Convert to fraction form
    90,048.24/134,978.48 = 33,849.64/x
  3. Step 3: Cross multiply
    90,048.24x = 134,978.48 × 33,849.64
  4. Step 4: Simplify right side
    90,048.24x = 4,568,972,955.75
  5. Step 5: Solve for x
    x = 4,568,972,955.75/90,048.24
  6. Step 6: Final answer
    x = 50,739.17

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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.