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Finding the Fourth Proportional to 39,802.38, 54,928.11 and 21,897.42

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Solution

The fourth proportional to 39,802.38, 54,928.11 and 21,897.42 is: 30,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,802.38 : 54,928.11 = 21,897.42 : x
  2. Step 2: Convert to fraction form
    39,802.38/54,928.11 = 21,897.42/x
  3. Step 3: Cross multiply
    39,802.38x = 54,928.11 × 21,897.42
  4. Step 4: Simplify right side
    39,802.38x = 1,202,783,894.48
  5. Step 5: Solve for x
    x = 1,202,783,894.48/39,802.38
  6. Step 6: Final answer
    x = 30,218.89

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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.