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Finding the Fourth Proportional to 82,026, 113,195.90 and 44,300.26

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Solution

The fourth proportional to 82,026, 113,195.90 and 44,300.26 is: 61,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,026 : 113,195.90 = 44,300.26 : x
  2. Step 2: Convert to fraction form
    82,026/113,195.90 = 44,300.26/x
  3. Step 3: Cross multiply
    82,026x = 113,195.90 × 44,300.26
  4. Step 4: Simplify right side
    82,026x = 5,014,607,800.93
  5. Step 5: Solve for x
    x = 5,014,607,800.93/82,026
  6. Step 6: Final answer
    x = 61,134.37

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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.