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Finding the Fourth Proportional to 38,583, 53,208 and 25,164.54

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Solution

The fourth proportional to 38,583, 53,208 and 25,164.54 is: 34,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,583 : 53,208 = 25,164.54 : x
  2. Step 2: Convert to fraction form
    38,583/53,208 = 25,164.54/x
  3. Step 3: Cross multiply
    38,583x = 53,208 × 25,164.54
  4. Step 4: Simplify right side
    38,583x = 1,338,954,844.32
  5. Step 5: Solve for x
    x = 1,338,954,844.32/38,583
  6. Step 6: Final answer
    x = 34,703.23

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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.