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Finding the Fourth Proportional to 37,131.98, 51,248.56 and 28,164.46

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Solution

The fourth proportional to 37,131.98, 51,248.56 and 28,164.46 is: 38,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,131.98 : 51,248.56 = 28,164.46 : x
  2. Step 2: Convert to fraction form
    37,131.98/51,248.56 = 28,164.46/x
  3. Step 3: Cross multiply
    37,131.98x = 51,248.56 × 28,164.46
  4. Step 4: Simplify right side
    37,131.98x = 1,443,388,018.18
  5. Step 5: Solve for x
    x = 1,443,388,018.18/37,131.98
  6. Step 6: Final answer
    x = 38,871.83

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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.