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Finding the Fourth Proportional to 57,602.25, 86,370.81 and 23,849.18

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Solution

The fourth proportional to 57,602.25, 86,370.81 and 23,849.18 is: 35,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602.25 : 86,370.81 = 23,849.18 : x
  2. Step 2: Convert to fraction form
    57,602.25/86,370.81 = 23,849.18/x
  3. Step 3: Cross multiply
    57,602.25x = 86,370.81 × 23,849.18
  4. Step 4: Simplify right side
    57,602.25x = 2,059,872,994.44
  5. Step 5: Solve for x
    x = 2,059,872,994.44/57,602.25
  6. Step 6: Final answer
    x = 35,760.29

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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.