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Finding the Fourth Proportional to 32,767.16, 49,145.27 and 9,388.13

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Solution

The fourth proportional to 32,767.16, 49,145.27 and 9,388.13 is: 14,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.16 : 49,145.27 = 9,388.13 : x
  2. Step 2: Convert to fraction form
    32,767.16/49,145.27 = 9,388.13/x
  3. Step 3: Cross multiply
    32,767.16x = 49,145.27 × 9,388.13
  4. Step 4: Simplify right side
    32,767.16x = 461,381,890.98
  5. Step 5: Solve for x
    x = 461,381,890.98/32,767.16
  6. Step 6: Final answer
    x = 14,080.62

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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.