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Finding the Fourth Proportional to 96,741.78, 145,083.50 and 34,408.50

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Solution

The fourth proportional to 96,741.78, 145,083.50 and 34,408.50 is: 51,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,741.78 : 145,083.50 = 34,408.50 : x
  2. Step 2: Convert to fraction form
    96,741.78/145,083.50 = 34,408.50/x
  3. Step 3: Cross multiply
    96,741.78x = 145,083.50 × 34,408.50
  4. Step 4: Simplify right side
    96,741.78x = 4,992,105,609.75
  5. Step 5: Solve for x
    x = 4,992,105,609.75/96,741.78
  6. Step 6: Final answer
    x = 51,602.38

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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.