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Finding the Fourth Proportional to 32,846.48, 49,270.74 and 12,855.20

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Solution

The fourth proportional to 32,846.48, 49,270.74 and 12,855.20 is: 19,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846.48 : 49,270.74 = 12,855.20 : x
  2. Step 2: Convert to fraction form
    32,846.48/49,270.74 = 12,855.20/x
  3. Step 3: Cross multiply
    32,846.48x = 49,270.74 × 12,855.20
  4. Step 4: Simplify right side
    32,846.48x = 633,385,216.85
  5. Step 5: Solve for x
    x = 633,385,216.85/32,846.48
  6. Step 6: Final answer
    x = 19,283.20

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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.