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Finding the Fourth Proportional to 96,842.50, 145,269.24 and 34,513

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Solution

The fourth proportional to 96,842.50, 145,269.24 and 34,513 is: 51,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,842.50 : 145,269.24 = 34,513 : x
  2. Step 2: Convert to fraction form
    96,842.50/145,269.24 = 34,513/x
  3. Step 3: Cross multiply
    96,842.50x = 145,269.24 × 34,513
  4. Step 4: Simplify right side
    96,842.50x = 5,013,677,280.12
  5. Step 5: Solve for x
    x = 5,013,677,280.12/96,842.50
  6. Step 6: Final answer
    x = 51,771.46

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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.