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Finding the Fourth Proportional to 34,083.70, 51,090.01 and 20,032.22

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Solution

The fourth proportional to 34,083.70, 51,090.01 and 20,032.22 is: 30,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,083.70 : 51,090.01 = 20,032.22 : x
  2. Step 2: Convert to fraction form
    34,083.70/51,090.01 = 20,032.22/x
  3. Step 3: Cross multiply
    34,083.70x = 51,090.01 × 20,032.22
  4. Step 4: Simplify right side
    34,083.70x = 1,023,446,397.77
  5. Step 5: Solve for x
    x = 1,023,446,397.77/34,083.70
  6. Step 6: Final answer
    x = 30,027.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.