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Finding the Fourth Proportional to 49,297, 73,962.78 and 21,597.16

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Solution

The fourth proportional to 49,297, 73,962.78 and 21,597.16 is: 32,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,297 : 73,962.78 = 21,597.16 : x
  2. Step 2: Convert to fraction form
    49,297/73,962.78 = 21,597.16/x
  3. Step 3: Cross multiply
    49,297x = 73,962.78 × 21,597.16
  4. Step 4: Simplify right side
    49,297x = 1,597,385,993.70
  5. Step 5: Solve for x
    x = 1,597,385,993.70/49,297
  6. Step 6: Final answer
    x = 32,403.31

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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.