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Finding the Fourth Proportional to 38,743.50, 53,405.37 and 25,308.03

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Solution

The fourth proportional to 38,743.50, 53,405.37 and 25,308.03 is: 34,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743.50 : 53,405.37 = 25,308.03 : x
  2. Step 2: Convert to fraction form
    38,743.50/53,405.37 = 25,308.03/x
  3. Step 3: Cross multiply
    38,743.50x = 53,405.37 × 25,308.03
  4. Step 4: Simplify right side
    38,743.50x = 1,351,584,706.12
  5. Step 5: Solve for x
    x = 1,351,584,706.12/38,743.50
  6. Step 6: Final answer
    x = 34,885.46

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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.