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Finding the Fourth Proportional to 37,035, 51,114.06 and 22,139.64

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Solution

The fourth proportional to 37,035, 51,114.06 and 22,139.64 is: 30,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,035 : 51,114.06 = 22,139.64 : x
  2. Step 2: Convert to fraction form
    37,035/51,114.06 = 22,139.64/x
  3. Step 3: Cross multiply
    37,035x = 51,114.06 × 22,139.64
  4. Step 4: Simplify right side
    37,035x = 1,131,646,887.34
  5. Step 5: Solve for x
    x = 1,131,646,887.34/37,035
  6. Step 6: Final answer
    x = 30,556.15

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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.