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Finding the Fourth Proportional to 32,794.50, 49,200.06 and 9,420.94

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Solution

The fourth proportional to 32,794.50, 49,200.06 and 9,420.94 is: 14,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794.50 : 49,200.06 = 9,420.94 : x
  2. Step 2: Convert to fraction form
    32,794.50/49,200.06 = 9,420.94/x
  3. Step 3: Cross multiply
    32,794.50x = 49,200.06 × 9,420.94
  4. Step 4: Simplify right side
    32,794.50x = 463,510,766.15
  5. Step 5: Solve for x
    x = 463,510,766.15/32,794.50
  6. Step 6: Final answer
    x = 14,133.80

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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.