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Finding the Fourth Proportional to 38,224.56, 57,314.52 and 14,533.68

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Solution

The fourth proportional to 38,224.56, 57,314.52 and 14,533.68 is: 21,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,224.56 : 57,314.52 = 14,533.68 : x
  2. Step 2: Convert to fraction form
    38,224.56/57,314.52 = 14,533.68/x
  3. Step 3: Cross multiply
    38,224.56x = 57,314.52 × 14,533.68
  4. Step 4: Simplify right side
    38,224.56x = 832,990,893.03
  5. Step 5: Solve for x
    x = 832,990,893.03/38,224.56
  6. Step 6: Final answer
    x = 21,792.03

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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.