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Finding the Fourth Proportional to 57,026.72, 85,530.36 and 15,464

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Solution

The fourth proportional to 57,026.72, 85,530.36 and 15,464 is: 23,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,026.72 : 85,530.36 = 15,464 : x
  2. Step 2: Convert to fraction form
    57,026.72/85,530.36 = 15,464/x
  3. Step 3: Cross multiply
    57,026.72x = 85,530.36 × 15,464
  4. Step 4: Simplify right side
    57,026.72x = 1,322,641,487.04
  5. Step 5: Solve for x
    x = 1,322,641,487.04/57,026.72
  6. Step 6: Final answer
    x = 23,193.36

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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.