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Finding the Fourth Proportional to 37,846.52, 56,750 and 14,134.54

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Solution

The fourth proportional to 37,846.52, 56,750 and 14,134.54 is: 21,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.52 : 56,750 = 14,134.54 : x
  2. Step 2: Convert to fraction form
    37,846.52/56,750 = 14,134.54/x
  3. Step 3: Cross multiply
    37,846.52x = 56,750 × 14,134.54
  4. Step 4: Simplify right side
    37,846.52x = 802,135,145
  5. Step 5: Solve for x
    x = 802,135,145/37,846.52
  6. Step 6: Final answer
    x = 21,194.42

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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.