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Finding the Fourth Proportional to 110,943.50, 166,415.26 and 37,071.50

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Solution

The fourth proportional to 110,943.50, 166,415.26 and 37,071.50 is: 55,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,943.50 : 166,415.26 = 37,071.50 : x
  2. Step 2: Convert to fraction form
    110,943.50/166,415.26 = 37,071.50/x
  3. Step 3: Cross multiply
    110,943.50x = 166,415.26 × 37,071.50
  4. Step 4: Simplify right side
    110,943.50x = 6,169,263,311.09
  5. Step 5: Solve for x
    x = 6,169,263,311.09/110,943.50
  6. Step 6: Final answer
    x = 55,607.25

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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.