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Finding the Fourth Proportional to 37,735.98, 56,614.18 and 12,776.03

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Solution

The fourth proportional to 37,735.98, 56,614.18 and 12,776.03 is: 19,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735.98 : 56,614.18 = 12,776.03 : x
  2. Step 2: Convert to fraction form
    37,735.98/56,614.18 = 12,776.03/x
  3. Step 3: Cross multiply
    37,735.98x = 56,614.18 × 12,776.03
  4. Step 4: Simplify right side
    37,735.98x = 723,304,147.09
  5. Step 5: Solve for x
    x = 723,304,147.09/37,735.98
  6. Step 6: Final answer
    x = 19,167.49

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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.