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Finding the Fourth Proportional to 32,727.28, 49,108.52 and 13,006

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Solution

The fourth proportional to 32,727.28, 49,108.52 and 13,006 is: 19,515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727.28 : 49,108.52 = 13,006 : x
  2. Step 2: Convert to fraction form
    32,727.28/49,108.52 = 13,006/x
  3. Step 3: Cross multiply
    32,727.28x = 49,108.52 × 13,006
  4. Step 4: Simplify right side
    32,727.28x = 638,705,346.09
  5. Step 5: Solve for x
    x = 638,705,346.09/32,727.28
  6. Step 6: Final answer
    x = 19,515.99

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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.