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Finding the Fourth Proportional to 32,772.94, 49,159.44 and 8,148.94

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Solution

The fourth proportional to 32,772.94, 49,159.44 and 8,148.94 is: 12,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.94 : 49,159.44 = 8,148.94 : x
  2. Step 2: Convert to fraction form
    32,772.94/49,159.44 = 8,148.94/x
  3. Step 3: Cross multiply
    32,772.94x = 49,159.44 × 8,148.94
  4. Step 4: Simplify right side
    32,772.94x = 400,597,204.10
  5. Step 5: Solve for x
    x = 400,597,204.10/32,772.94
  6. Step 6: Final answer
    x = 12,223.41

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Similar ratio
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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.