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Finding the Fourth Proportional to 37,537, 56,305.50 and 14,157.97

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Solution

The fourth proportional to 37,537, 56,305.50 and 14,157.97 is: 21,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,537 : 56,305.50 = 14,157.97 : x
  2. Step 2: Convert to fraction form
    37,537/56,305.50 = 14,157.97/x
  3. Step 3: Cross multiply
    37,537x = 56,305.50 × 14,157.97
  4. Step 4: Simplify right side
    37,537x = 797,171,579.84
  5. Step 5: Solve for x
    x = 797,171,579.84/37,537
  6. Step 6: Final answer
    x = 21,236.96

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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.