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Finding the Fourth Proportional to 33,214.53, 49,813.28 and 9,835.50

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Solution

The fourth proportional to 33,214.53, 49,813.28 and 9,835.50 is: 14,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214.53 : 49,813.28 = 9,835.50 : x
  2. Step 2: Convert to fraction form
    33,214.53/49,813.28 = 9,835.50/x
  3. Step 3: Cross multiply
    33,214.53x = 49,813.28 × 9,835.50
  4. Step 4: Simplify right side
    33,214.53x = 489,938,353.23
  5. Step 5: Solve for x
    x = 489,938,353.23/33,214.53
  6. Step 6: Final answer
    x = 14,750.73

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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.