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Finding the Fourth Proportional to 100,487.87, 150,500.75 and 56,016.14

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Solution

The fourth proportional to 100,487.87, 150,500.75 and 56,016.14 is: 83,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,487.87 : 150,500.75 = 56,016.14 : x
  2. Step 2: Convert to fraction form
    100,487.87/150,500.75 = 56,016.14/x
  3. Step 3: Cross multiply
    100,487.87x = 150,500.75 × 56,016.14
  4. Step 4: Simplify right side
    100,487.87x = 8,430,470,049.52
  5. Step 5: Solve for x
    x = 8,430,470,049.52/100,487.87
  6. Step 6: Final answer
    x = 83,895.40

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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.