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Finding the Fourth Proportional to 57,707.60, 86,509.16 and 22,637.84

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Solution

The fourth proportional to 57,707.60, 86,509.16 and 22,637.84 is: 33,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,707.60 : 86,509.16 = 22,637.84 : x
  2. Step 2: Convert to fraction form
    57,707.60/86,509.16 = 22,637.84/x
  3. Step 3: Cross multiply
    57,707.60x = 86,509.16 × 22,637.84
  4. Step 4: Simplify right side
    57,707.60x = 1,958,380,409.43
  5. Step 5: Solve for x
    x = 1,958,380,409.43/57,707.60
  6. Step 6: Final answer
    x = 33,936.27

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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.