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Finding the Fourth Proportional to 37,038.72, 51,137.28 and 33,052.98

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Solution

The fourth proportional to 37,038.72, 51,137.28 and 33,052.98 is: 45,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.72 : 51,137.28 = 33,052.98 : x
  2. Step 2: Convert to fraction form
    37,038.72/51,137.28 = 33,052.98/x
  3. Step 3: Cross multiply
    37,038.72x = 51,137.28 × 33,052.98
  4. Step 4: Simplify right side
    37,038.72x = 1,690,239,493.09
  5. Step 5: Solve for x
    x = 1,690,239,493.09/37,038.72
  6. Step 6: Final answer
    x = 45,634.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.