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Finding the Fourth Proportional to 39,507.66, 54,509.58 and 23,586.30

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Solution

The fourth proportional to 39,507.66, 54,509.58 and 23,586.30 is: 32,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,507.66 : 54,509.58 = 23,586.30 : x
  2. Step 2: Convert to fraction form
    39,507.66/54,509.58 = 23,586.30/x
  3. Step 3: Cross multiply
    39,507.66x = 54,509.58 × 23,586.30
  4. Step 4: Simplify right side
    39,507.66x = 1,285,679,306.75
  5. Step 5: Solve for x
    x = 1,285,679,306.75/39,507.66
  6. Step 6: Final answer
    x = 32,542.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.