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Finding the Fourth Proportional to 32,893.21, 49,340.42 and 10,706.50

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Solution

The fourth proportional to 32,893.21, 49,340.42 and 10,706.50 is: 16,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.21 : 49,340.42 = 10,706.50 : x
  2. Step 2: Convert to fraction form
    32,893.21/49,340.42 = 10,706.50/x
  3. Step 3: Cross multiply
    32,893.21x = 49,340.42 × 10,706.50
  4. Step 4: Simplify right side
    32,893.21x = 528,263,206.73
  5. Step 5: Solve for x
    x = 528,263,206.73/32,893.21
  6. Step 6: Final answer
    x = 16,059.95

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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.