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Finding the Fourth Proportional to 32,762.92, 49,144.38 and 9,389.44

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Solution

The fourth proportional to 32,762.92, 49,144.38 and 9,389.44 is: 14,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762.92 : 49,144.38 = 9,389.44 : x
  2. Step 2: Convert to fraction form
    32,762.92/49,144.38 = 9,389.44/x
  3. Step 3: Cross multiply
    32,762.92x = 49,144.38 × 9,389.44
  4. Step 4: Simplify right side
    32,762.92x = 461,438,207.35
  5. Step 5: Solve for x
    x = 461,438,207.35/32,762.92
  6. Step 6: Final answer
    x = 14,084.16

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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.