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Finding the Fourth Proportional to 57,398.22, 86,102.19 and 15,845.22

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Solution

The fourth proportional to 57,398.22, 86,102.19 and 15,845.22 is: 23,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,398.22 : 86,102.19 = 15,845.22 : x
  2. Step 2: Convert to fraction form
    57,398.22/86,102.19 = 15,845.22/x
  3. Step 3: Cross multiply
    57,398.22x = 86,102.19 × 15,845.22
  4. Step 4: Simplify right side
    57,398.22x = 1,364,308,143.03
  5. Step 5: Solve for x
    x = 1,364,308,143.03/57,398.22
  6. Step 6: Final answer
    x = 23,769.17

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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.