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Finding the Fourth Proportional to 32,706.40, 49,046.16 and 12,982.24

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Solution

The fourth proportional to 32,706.40, 49,046.16 and 12,982.24 is: 19,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706.40 : 49,046.16 = 12,982.24 : x
  2. Step 2: Convert to fraction form
    32,706.40/49,046.16 = 12,982.24/x
  3. Step 3: Cross multiply
    32,706.40x = 49,046.16 × 12,982.24
  4. Step 4: Simplify right side
    32,706.40x = 636,729,020.20
  5. Step 5: Solve for x
    x = 636,729,020.20/32,706.40
  6. Step 6: Final answer
    x = 19,468.03

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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.