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Finding the Fourth Proportional to 37,616.28, 56,389.86 and 12,975

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Solution

The fourth proportional to 37,616.28, 56,389.86 and 12,975 is: 19,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.28 : 56,389.86 = 12,975 : x
  2. Step 2: Convert to fraction form
    37,616.28/56,389.86 = 12,975/x
  3. Step 3: Cross multiply
    37,616.28x = 56,389.86 × 12,975
  4. Step 4: Simplify right side
    37,616.28x = 731,658,433.50
  5. Step 5: Solve for x
    x = 731,658,433.50/37,616.28
  6. Step 6: Final answer
    x = 19,450.58

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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.