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Finding the Fourth Proportional to 37,131.98, 51,237.41 and 21,217.46

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Solution

The fourth proportional to 37,131.98, 51,237.41 and 21,217.46 is: 29,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,131.98 : 51,237.41 = 21,217.46 : x
  2. Step 2: Convert to fraction form
    37,131.98/51,237.41 = 21,217.46/x
  3. Step 3: Cross multiply
    37,131.98x = 51,237.41 × 21,217.46
  4. Step 4: Simplify right side
    37,131.98x = 1,087,127,334.90
  5. Step 5: Solve for x
    x = 1,087,127,334.90/37,131.98
  6. Step 6: Final answer
    x = 29,277.39

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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.