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Finding the Fourth Proportional to 32,709.56, 49,071.60 and 11,933

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Solution

The fourth proportional to 32,709.56, 49,071.60 and 11,933 is: 17,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.56 : 49,071.60 = 11,933 : x
  2. Step 2: Convert to fraction form
    32,709.56/49,071.60 = 11,933/x
  3. Step 3: Cross multiply
    32,709.56x = 49,071.60 × 11,933
  4. Step 4: Simplify right side
    32,709.56x = 585,571,402.80
  5. Step 5: Solve for x
    x = 585,571,402.80/32,709.56
  6. Step 6: Final answer
    x = 17,902.15

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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.