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Finding the Fourth Proportional to 32,712.50, 49,069.56 and 11,936

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Solution

The fourth proportional to 32,712.50, 49,069.56 and 11,936 is: 17,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.50 : 49,069.56 = 11,936 : x
  2. Step 2: Convert to fraction form
    32,712.50/49,069.56 = 11,936/x
  3. Step 3: Cross multiply
    32,712.50x = 49,069.56 × 11,936
  4. Step 4: Simplify right side
    32,712.50x = 585,694,268.16
  5. Step 5: Solve for x
    x = 585,694,268.16/32,712.50
  6. Step 6: Final answer
    x = 17,904.30

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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.