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Finding the Fourth Proportional to 55,334.80, 82,994.10 and 15,887.80

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Solution

The fourth proportional to 55,334.80, 82,994.10 and 15,887.80 is: 23,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,334.80 : 82,994.10 = 15,887.80 : x
  2. Step 2: Convert to fraction form
    55,334.80/82,994.10 = 15,887.80/x
  3. Step 3: Cross multiply
    55,334.80x = 82,994.10 × 15,887.80
  4. Step 4: Simplify right side
    55,334.80x = 1,318,593,661.98
  5. Step 5: Solve for x
    x = 1,318,593,661.98/55,334.80
  6. Step 6: Final answer
    x = 23,829.37

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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.