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Finding the Fourth Proportional to 127,758.37, 191,674.95 and 37,803.46

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Solution

The fourth proportional to 127,758.37, 191,674.95 and 37,803.46 is: 56,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,758.37 : 191,674.95 = 37,803.46 : x
  2. Step 2: Convert to fraction form
    127,758.37/191,674.95 = 37,803.46/x
  3. Step 3: Cross multiply
    127,758.37x = 191,674.95 × 37,803.46
  4. Step 4: Simplify right side
    127,758.37x = 7,245,976,305.33
  5. Step 5: Solve for x
    x = 7,245,976,305.33/127,758.37
  6. Step 6: Final answer
    x = 56,716.26

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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.