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Finding the Fourth Proportional to 32,761, 49,144.08 and 11,705.60

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Solution

The fourth proportional to 32,761, 49,144.08 and 11,705.60 is: 17,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761 : 49,144.08 = 11,705.60 : x
  2. Step 2: Convert to fraction form
    32,761/49,144.08 = 11,705.60/x
  3. Step 3: Cross multiply
    32,761x = 49,144.08 × 11,705.60
  4. Step 4: Simplify right side
    32,761x = 575,260,942.85
  5. Step 5: Solve for x
    x = 575,260,942.85/32,761
  6. Step 6: Final answer
    x = 17,559.32

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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.