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Finding the Fourth Proportional to 32,796.36, 49,214.25 and 11,734.74

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Solution

The fourth proportional to 32,796.36, 49,214.25 and 11,734.74 is: 17,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796.36 : 49,214.25 = 11,734.74 : x
  2. Step 2: Convert to fraction form
    32,796.36/49,214.25 = 11,734.74/x
  3. Step 3: Cross multiply
    32,796.36x = 49,214.25 × 11,734.74
  4. Step 4: Simplify right side
    32,796.36x = 577,516,428.05
  5. Step 5: Solve for x
    x = 577,516,428.05/32,796.36
  6. Step 6: Final answer
    x = 17,609.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.