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Finding the Fourth Proportional to 47,866.32, 71,674.07 and 33,749.93

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Solution

The fourth proportional to 47,866.32, 71,674.07 and 33,749.93 is: 50,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,866.32 : 71,674.07 = 33,749.93 : x
  2. Step 2: Convert to fraction form
    47,866.32/71,674.07 = 33,749.93/x
  3. Step 3: Cross multiply
    47,866.32x = 71,674.07 × 33,749.93
  4. Step 4: Simplify right side
    47,866.32x = 2,418,994,318.20
  5. Step 5: Solve for x
    x = 2,418,994,318.20/47,866.32
  6. Step 6: Final answer
    x = 50,536.46

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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.