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Finding the Fourth Proportional to 57,024.72, 85,527.36 and 15,462

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Solution

The fourth proportional to 57,024.72, 85,527.36 and 15,462 is: 23,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024.72 : 85,527.36 = 15,462 : x
  2. Step 2: Convert to fraction form
    57,024.72/85,527.36 = 15,462/x
  3. Step 3: Cross multiply
    57,024.72x = 85,527.36 × 15,462
  4. Step 4: Simplify right side
    57,024.72x = 1,322,424,040.32
  5. Step 5: Solve for x
    x = 1,322,424,040.32/57,024.72
  6. Step 6: Final answer
    x = 23,190.36

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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.