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Finding the Fourth Proportional to 38,569.96, 53,214.73 and 25,136.31

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Solution

The fourth proportional to 38,569.96, 53,214.73 and 25,136.31 is: 34,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.96 : 53,214.73 = 25,136.31 : x
  2. Step 2: Convert to fraction form
    38,569.96/53,214.73 = 25,136.31/x
  3. Step 3: Cross multiply
    38,569.96x = 53,214.73 × 25,136.31
  4. Step 4: Simplify right side
    38,569.96x = 1,337,621,949.85
  5. Step 5: Solve for x
    x = 1,337,621,949.85/38,569.96
  6. Step 6: Final answer
    x = 34,680.41

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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.