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Finding the Fourth Proportional to 90,071.66, 135,051.32 and 33,909.50

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Solution

The fourth proportional to 90,071.66, 135,051.32 and 33,909.50 is: 50,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,071.66 : 135,051.32 = 33,909.50 : x
  2. Step 2: Convert to fraction form
    90,071.66/135,051.32 = 33,909.50/x
  3. Step 3: Cross multiply
    90,071.66x = 135,051.32 × 33,909.50
  4. Step 4: Simplify right side
    90,071.66x = 4,579,522,735.54
  5. Step 5: Solve for x
    x = 4,579,522,735.54/90,071.66
  6. Step 6: Final answer
    x = 50,843.10

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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.