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Finding the Fourth Proportional to 69,199.90, 103,783.92 and 27,080.98

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Solution

The fourth proportional to 69,199.90, 103,783.92 and 27,080.98 is: 40,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,199.90 : 103,783.92 = 27,080.98 : x
  2. Step 2: Convert to fraction form
    69,199.90/103,783.92 = 27,080.98/x
  3. Step 3: Cross multiply
    69,199.90x = 103,783.92 × 27,080.98
  4. Step 4: Simplify right side
    69,199.90x = 2,810,570,261.84
  5. Step 5: Solve for x
    x = 2,810,570,261.84/69,199.90
  6. Step 6: Final answer
    x = 40,615.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.