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Finding the Fourth Proportional to 62,511, 93,766.50 and 18,735

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Solution

The fourth proportional to 62,511, 93,766.50 and 18,735 is: 28,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,511 : 93,766.50 = 18,735 : x
  2. Step 2: Convert to fraction form
    62,511/93,766.50 = 18,735/x
  3. Step 3: Cross multiply
    62,511x = 93,766.50 × 18,735
  4. Step 4: Simplify right side
    62,511x = 1,756,715,377.50
  5. Step 5: Solve for x
    x = 1,756,715,377.50/62,511
  6. Step 6: Final answer
    x = 28,102.50

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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.