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Finding the Fourth Proportional to 37,637, 51,947.16 and 22,533.03

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Solution

The fourth proportional to 37,637, 51,947.16 and 22,533.03 is: 31,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,637 : 51,947.16 = 22,533.03 : x
  2. Step 2: Convert to fraction form
    37,637/51,947.16 = 22,533.03/x
  3. Step 3: Cross multiply
    37,637x = 51,947.16 × 22,533.03
  4. Step 4: Simplify right side
    37,637x = 1,170,526,914.69
  5. Step 5: Solve for x
    x = 1,170,526,914.69/37,637
  6. Step 6: Final answer
    x = 31,100.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.