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Finding the Fourth Proportional to 39,502.32, 54,517 and 23,586.64

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Solution

The fourth proportional to 39,502.32, 54,517 and 23,586.64 is: 32,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,502.32 : 54,517 = 23,586.64 : x
  2. Step 2: Convert to fraction form
    39,502.32/54,517 = 23,586.64/x
  3. Step 3: Cross multiply
    39,502.32x = 54,517 × 23,586.64
  4. Step 4: Simplify right side
    39,502.32x = 1,285,872,852.88
  5. Step 5: Solve for x
    x = 1,285,872,852.88/39,502.32
  6. Step 6: Final answer
    x = 32,551.83

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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.