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Finding the Fourth Proportional to 39,468.38, 54,464.75 and 21,564.00

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Solution

The fourth proportional to 39,468.38, 54,464.75 and 21,564.00 is: 29,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468.38 : 54,464.75 = 21,564.00 : x
  2. Step 2: Convert to fraction form
    39,468.38/54,464.75 = 21,564.00/x
  3. Step 3: Cross multiply
    39,468.38x = 54,464.75 × 21,564.00
  4. Step 4: Simplify right side
    39,468.38x = 1,174,477,897.34
  5. Step 5: Solve for x
    x = 1,174,477,897.34/39,468.38
  6. Step 6: Final answer
    x = 29,757.44

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Why These Related Problems?

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