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Finding the Fourth Proportional to 32,767.40, 49,092.78 and 15,206.60

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Solution

The fourth proportional to 32,767.40, 49,092.78 and 15,206.60 is: 22,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.40 : 49,092.78 = 15,206.60 : x
  2. Step 2: Convert to fraction form
    32,767.40/49,092.78 = 15,206.60/x
  3. Step 3: Cross multiply
    32,767.40x = 49,092.78 × 15,206.60
  4. Step 4: Simplify right side
    32,767.40x = 746,534,268.35
  5. Step 5: Solve for x
    x = 746,534,268.35/32,767.40
  6. Step 6: Final answer
    x = 22,782.84

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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.