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Finding the Fourth Proportional to 47,828.34, 71,659.32 and 33,566.58

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Solution

The fourth proportional to 47,828.34, 71,659.32 and 33,566.58 is: 50,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,828.34 : 71,659.32 = 33,566.58 : x
  2. Step 2: Convert to fraction form
    47,828.34/71,659.32 = 33,566.58/x
  3. Step 3: Cross multiply
    47,828.34x = 71,659.32 × 33,566.58
  4. Step 4: Simplify right side
    47,828.34x = 2,405,358,297.53
  5. Step 5: Solve for x
    x = 2,405,358,297.53/47,828.34
  6. Step 6: Final answer
    x = 50,291.49

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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.