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Finding the Fourth Proportional to 71,352.57, 107,029.95 and 33,916.50

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Solution

The fourth proportional to 71,352.57, 107,029.95 and 33,916.50 is: 50,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352.57 : 107,029.95 = 33,916.50 : x
  2. Step 2: Convert to fraction form
    71,352.57/107,029.95 = 33,916.50/x
  3. Step 3: Cross multiply
    71,352.57x = 107,029.95 × 33,916.50
  4. Step 4: Simplify right side
    71,352.57x = 3,630,081,299.18
  5. Step 5: Solve for x
    x = 3,630,081,299.18/71,352.57
  6. Step 6: Final answer
    x = 50,875.27

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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.