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Finding the Fourth Proportional to 32,767.50, 49,138.77 and 11,703.60

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Solution

The fourth proportional to 32,767.50, 49,138.77 and 11,703.60 is: 17,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.50 : 49,138.77 = 11,703.60 : x
  2. Step 2: Convert to fraction form
    32,767.50/49,138.77 = 11,703.60/x
  3. Step 3: Cross multiply
    32,767.50x = 49,138.77 × 11,703.60
  4. Step 4: Simplify right side
    32,767.50x = 575,100,508.57
  5. Step 5: Solve for x
    x = 575,100,508.57/32,767.50
  6. Step 6: Final answer
    x = 17,550.94

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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.