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Finding the Fourth Proportional to 82,408.78, 123,652.05 and 29,804.14

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Solution

The fourth proportional to 82,408.78, 123,652.05 and 29,804.14 is: 44,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,408.78 : 123,652.05 = 29,804.14 : x
  2. Step 2: Convert to fraction form
    82,408.78/123,652.05 = 29,804.14/x
  3. Step 3: Cross multiply
    82,408.78x = 123,652.05 × 29,804.14
  4. Step 4: Simplify right side
    82,408.78x = 3,685,343,009.49
  5. Step 5: Solve for x
    x = 3,685,343,009.49/82,408.78
  6. Step 6: Final answer
    x = 44,720.27

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Why These Related Problems?

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