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Finding the Fourth Proportional to 105,766.87, 158,661.43 and 30,887.22

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Solution

The fourth proportional to 105,766.87, 158,661.43 and 30,887.22 is: 46,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,766.87 : 158,661.43 = 30,887.22 : x
  2. Step 2: Convert to fraction form
    105,766.87/158,661.43 = 30,887.22/x
  3. Step 3: Cross multiply
    105,766.87x = 158,661.43 × 30,887.22
  4. Step 4: Simplify right side
    105,766.87x = 4,900,610,493.92
  5. Step 5: Solve for x
    x = 4,900,610,493.92/105,766.87
  6. Step 6: Final answer
    x = 46,334.08

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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.