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Finding the Fourth Proportional to 54,968.01, 82,452.21 and 13,415.01

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Solution

The fourth proportional to 54,968.01, 82,452.21 and 13,415.01 is: 20,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,968.01 : 82,452.21 = 13,415.01 : x
  2. Step 2: Convert to fraction form
    54,968.01/82,452.21 = 13,415.01/x
  3. Step 3: Cross multiply
    54,968.01x = 82,452.21 × 13,415.01
  4. Step 4: Simplify right side
    54,968.01x = 1,106,097,221.67
  5. Step 5: Solve for x
    x = 1,106,097,221.67/54,968.01
  6. Step 6: Final answer
    x = 20,122.56

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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.