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Finding the Fourth Proportional to 127,755.37, 191,670.45 and 37,800.46

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Solution

The fourth proportional to 127,755.37, 191,670.45 and 37,800.46 is: 56,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,755.37 : 191,670.45 = 37,800.46 : x
  2. Step 2: Convert to fraction form
    127,755.37/191,670.45 = 37,800.46/x
  3. Step 3: Cross multiply
    127,755.37x = 191,670.45 × 37,800.46
  4. Step 4: Simplify right side
    127,755.37x = 7,245,231,178.41
  5. Step 5: Solve for x
    x = 7,245,231,178.41/127,755.37
  6. Step 6: Final answer
    x = 56,711.75

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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.