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Finding the Fourth Proportional to 38,424.50, 53,069.55 and 25,827.38

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Solution

The fourth proportional to 38,424.50, 53,069.55 and 25,827.38 is: 35,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.50 : 53,069.55 = 25,827.38 : x
  2. Step 2: Convert to fraction form
    38,424.50/53,069.55 = 25,827.38/x
  3. Step 3: Cross multiply
    38,424.50x = 53,069.55 × 25,827.38
  4. Step 4: Simplify right side
    38,424.50x = 1,370,647,434.28
  5. Step 5: Solve for x
    x = 1,370,647,434.28/38,424.50
  6. Step 6: Final answer
    x = 35,671.18

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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.