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Finding the Fourth Proportional to 39,199.47, 54,095.31 and 21,294.47

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Solution

The fourth proportional to 39,199.47, 54,095.31 and 21,294.47 is: 29,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,199.47 : 54,095.31 = 21,294.47 : x
  2. Step 2: Convert to fraction form
    39,199.47/54,095.31 = 21,294.47/x
  3. Step 3: Cross multiply
    39,199.47x = 54,095.31 × 21,294.47
  4. Step 4: Simplify right side
    39,199.47x = 1,151,930,786.89
  5. Step 5: Solve for x
    x = 1,151,930,786.89/39,199.47
  6. Step 6: Final answer
    x = 29,386.39

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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.