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Finding the Fourth Proportional to 82,024, 113,193.14 and 44,298.26

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Solution

The fourth proportional to 82,024, 113,193.14 and 44,298.26 is: 61,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,024 : 113,193.14 = 44,298.26 : x
  2. Step 2: Convert to fraction form
    82,024/113,193.14 = 44,298.26/x
  3. Step 3: Cross multiply
    82,024x = 113,193.14 × 44,298.26
  4. Step 4: Simplify right side
    82,024x = 5,014,259,145.94
  5. Step 5: Solve for x
    x = 5,014,259,145.94/82,024
  6. Step 6: Final answer
    x = 61,131.61

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Why These Related Problems?

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