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Finding the Fourth Proportional to 57,009.72, 85,513.14 and 15,455.64

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Solution

The fourth proportional to 57,009.72, 85,513.14 and 15,455.64 is: 23,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.72 : 85,513.14 = 15,455.64 : x
  2. Step 2: Convert to fraction form
    57,009.72/85,513.14 = 15,455.64/x
  3. Step 3: Cross multiply
    57,009.72x = 85,513.14 × 15,455.64
  4. Step 4: Simplify right side
    57,009.72x = 1,321,660,307.11
  5. Step 5: Solve for x
    x = 1,321,660,307.11/57,009.72
  6. Step 6: Final answer
    x = 23,183.07

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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.