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Finding the Fourth Proportional to 39,090.72, 53,946 and 22,324.80

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Solution

The fourth proportional to 39,090.72, 53,946 and 22,324.80 is: 30,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,090.72 : 53,946 = 22,324.80 : x
  2. Step 2: Convert to fraction form
    39,090.72/53,946 = 22,324.80/x
  3. Step 3: Cross multiply
    39,090.72x = 53,946 × 22,324.80
  4. Step 4: Simplify right side
    39,090.72x = 1,204,333,660.80
  5. Step 5: Solve for x
    x = 1,204,333,660.80/39,090.72
  6. Step 6: Final answer
    x = 30,808.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.