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Finding the Fourth Proportional to 57,664.02, 86,534.50 and 20,224.06

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Solution

The fourth proportional to 57,664.02, 86,534.50 and 20,224.06 is: 30,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664.02 : 86,534.50 = 20,224.06 : x
  2. Step 2: Convert to fraction form
    57,664.02/86,534.50 = 20,224.06/x
  3. Step 3: Cross multiply
    57,664.02x = 86,534.50 × 20,224.06
  4. Step 4: Simplify right side
    57,664.02x = 1,750,078,920.07
  5. Step 5: Solve for x
    x = 1,750,078,920.07/57,664.02
  6. Step 6: Final answer
    x = 30,349.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.