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Finding the Fourth Proportional to 38,962.50, 53,768.25 and 22,195.50

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Solution

The fourth proportional to 38,962.50, 53,768.25 and 22,195.50 is: 30,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,962.50 : 53,768.25 = 22,195.50 : x
  2. Step 2: Convert to fraction form
    38,962.50/53,768.25 = 22,195.50/x
  3. Step 3: Cross multiply
    38,962.50x = 53,768.25 × 22,195.50
  4. Step 4: Simplify right side
    38,962.50x = 1,193,413,192.88
  5. Step 5: Solve for x
    x = 1,193,413,192.88/38,962.50
  6. Step 6: Final answer
    x = 30,629.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.