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Finding the Fourth Proportional to 37,649.32, 51,947.34 and 22,536.24

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Solution

The fourth proportional to 37,649.32, 51,947.34 and 22,536.24 is: 31,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.32 : 51,947.34 = 22,536.24 : x
  2. Step 2: Convert to fraction form
    37,649.32/51,947.34 = 22,536.24/x
  3. Step 3: Cross multiply
    37,649.32x = 51,947.34 × 22,536.24
  4. Step 4: Simplify right side
    37,649.32x = 1,170,697,648.07
  5. Step 5: Solve for x
    x = 1,170,697,648.07/37,649.32
  6. Step 6: Final answer
    x = 31,094.79

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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.