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Finding the Fourth Proportional to 32,940.93, 49,416.21 and 9,564.33

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Solution

The fourth proportional to 32,940.93, 49,416.21 and 9,564.33 is: 14,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.93 : 49,416.21 = 9,564.33 : x
  2. Step 2: Convert to fraction form
    32,940.93/49,416.21 = 9,564.33/x
  3. Step 3: Cross multiply
    32,940.93x = 49,416.21 × 9,564.33
  4. Step 4: Simplify right side
    32,940.93x = 472,632,939.79
  5. Step 5: Solve for x
    x = 472,632,939.79/32,940.93
  6. Step 6: Final answer
    x = 14,347.89

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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.