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Finding the Fourth Proportional to 103,851.42, 155,843.37 and 37,290.12

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Solution

The fourth proportional to 103,851.42, 155,843.37 and 37,290.12 is: 55,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,851.42 : 155,843.37 = 37,290.12 : x
  2. Step 2: Convert to fraction form
    103,851.42/155,843.37 = 37,290.12/x
  3. Step 3: Cross multiply
    103,851.42x = 155,843.37 × 37,290.12
  4. Step 4: Simplify right side
    103,851.42x = 5,811,417,968.50
  5. Step 5: Solve for x
    x = 5,811,417,968.50/103,851.42
  6. Step 6: Final answer
    x = 55,958.96

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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.