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Finding the Fourth Proportional to 72,895.50, 109,350 and 33,446.88

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Solution

The fourth proportional to 72,895.50, 109,350 and 33,446.88 is: 50,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,895.50 : 109,350 = 33,446.88 : x
  2. Step 2: Convert to fraction form
    72,895.50/109,350 = 33,446.88/x
  3. Step 3: Cross multiply
    72,895.50x = 109,350 × 33,446.88
  4. Step 4: Simplify right side
    72,895.50x = 3,657,416,328.00
  5. Step 5: Solve for x
    x = 3,657,416,328.00/72,895.50
  6. Step 6: Final answer
    x = 50,173.42

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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.