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Finding the Fourth Proportional to 57,433.80, 86,150.64 and 17,994

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Solution

The fourth proportional to 57,433.80, 86,150.64 and 17,994 is: 26,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,433.80 : 86,150.64 = 17,994 : x
  2. Step 2: Convert to fraction form
    57,433.80/86,150.64 = 17,994/x
  3. Step 3: Cross multiply
    57,433.80x = 86,150.64 × 17,994
  4. Step 4: Simplify right side
    57,433.80x = 1,550,194,616.16
  5. Step 5: Solve for x
    x = 1,550,194,616.16/57,433.80
  6. Step 6: Final answer
    x = 26,990.98

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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.