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Finding the Fourth Proportional to 37,698.75, 52,080.17 and 24,808.41

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Solution

The fourth proportional to 37,698.75, 52,080.17 and 24,808.41 is: 34,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,698.75 : 52,080.17 = 24,808.41 : x
  2. Step 2: Convert to fraction form
    37,698.75/52,080.17 = 24,808.41/x
  3. Step 3: Cross multiply
    37,698.75x = 52,080.17 × 24,808.41
  4. Step 4: Simplify right side
    37,698.75x = 1,292,026,086.19
  5. Step 5: Solve for x
    x = 1,292,026,086.19/37,698.75
  6. Step 6: Final answer
    x = 34,272.39

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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.