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Finding the Fourth Proportional to 32,767.43, 49,152.83 and 9,393.26

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Solution

The fourth proportional to 32,767.43, 49,152.83 and 9,393.26 is: 14,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.43 : 49,152.83 = 9,393.26 : x
  2. Step 2: Convert to fraction form
    32,767.43/49,152.83 = 9,393.26/x
  3. Step 3: Cross multiply
    32,767.43x = 49,152.83 × 9,393.26
  4. Step 4: Simplify right side
    32,767.43x = 461,705,019.20
  5. Step 5: Solve for x
    x = 461,705,019.20/32,767.43
  6. Step 6: Final answer
    x = 14,090.37

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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.