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Finding the Fourth Proportional to 38,617.74, 53,296.95 and 23,519.25

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Solution

The fourth proportional to 38,617.74, 53,296.95 and 23,519.25 is: 32,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617.74 : 53,296.95 = 23,519.25 : x
  2. Step 2: Convert to fraction form
    38,617.74/53,296.95 = 23,519.25/x
  3. Step 3: Cross multiply
    38,617.74x = 53,296.95 × 23,519.25
  4. Step 4: Simplify right side
    38,617.74x = 1,253,504,291.29
  5. Step 5: Solve for x
    x = 1,253,504,291.29/38,617.74
  6. Step 6: Final answer
    x = 32,459.29

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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.