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Finding the Fourth Proportional to 101,509.72, 152,212.12 and 44,560.32

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Solution

The fourth proportional to 101,509.72, 152,212.12 and 44,560.32 is: 66,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,509.72 : 152,212.12 = 44,560.32 : x
  2. Step 2: Convert to fraction form
    101,509.72/152,212.12 = 44,560.32/x
  3. Step 3: Cross multiply
    101,509.72x = 152,212.12 × 44,560.32
  4. Step 4: Simplify right side
    101,509.72x = 6,782,620,283.15
  5. Step 5: Solve for x
    x = 6,782,620,283.15/101,509.72
  6. Step 6: Final answer
    x = 66,817.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.