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Finding the Fourth Proportional to 57,509.06, 86,238.94 and 20,058

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Solution

The fourth proportional to 57,509.06, 86,238.94 and 20,058 is: 30,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,509.06 : 86,238.94 = 20,058 : x
  2. Step 2: Convert to fraction form
    57,509.06/86,238.94 = 20,058/x
  3. Step 3: Cross multiply
    57,509.06x = 86,238.94 × 20,058
  4. Step 4: Simplify right side
    57,509.06x = 1,729,780,658.52
  5. Step 5: Solve for x
    x = 1,729,780,658.52/57,509.06
  6. Step 6: Final answer
    x = 30,078.40

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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.