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Finding the Fourth Proportional to 32,511.29, 48,766.92 and 9,137.72

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Solution

The fourth proportional to 32,511.29, 48,766.92 and 9,137.72 is: 13,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511.29 : 48,766.92 = 9,137.72 : x
  2. Step 2: Convert to fraction form
    32,511.29/48,766.92 = 9,137.72/x
  3. Step 3: Cross multiply
    32,511.29x = 48,766.92 × 9,137.72
  4. Step 4: Simplify right side
    32,511.29x = 445,618,460.22
  5. Step 5: Solve for x
    x = 445,618,460.22/32,511.29
  6. Step 6: Final answer
    x = 13,706.58

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1.5x scale

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.