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Finding the Fourth Proportional to 32,710.50, 49,066.56 and 11,934

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Solution

The fourth proportional to 32,710.50, 49,066.56 and 11,934 is: 17,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,710.50 : 49,066.56 = 11,934 : x
  2. Step 2: Convert to fraction form
    32,710.50/49,066.56 = 11,934/x
  3. Step 3: Cross multiply
    32,710.50x = 49,066.56 × 11,934
  4. Step 4: Simplify right side
    32,710.50x = 585,560,327.04
  5. Step 5: Solve for x
    x = 585,560,327.04/32,710.50
  6. Step 6: Final answer
    x = 17,901.30

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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.