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Finding the Fourth Proportional to 104,307.50, 156,473.46 and 33,205.22

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Solution

The fourth proportional to 104,307.50, 156,473.46 and 33,205.22 is: 49,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,307.50 : 156,473.46 = 33,205.22 : x
  2. Step 2: Convert to fraction form
    104,307.50/156,473.46 = 33,205.22/x
  3. Step 3: Cross multiply
    104,307.50x = 156,473.46 × 33,205.22
  4. Step 4: Simplify right side
    104,307.50x = 5,195,736,054.64
  5. Step 5: Solve for x
    x = 5,195,736,054.64/104,307.50
  6. Step 6: Final answer
    x = 49,811.72

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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.