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Finding the Fourth Proportional to 54,777.24, 82,165.95 and 13,224.24

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Solution

The fourth proportional to 54,777.24, 82,165.95 and 13,224.24 is: 19,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,777.24 : 82,165.95 = 13,224.24 : x
  2. Step 2: Convert to fraction form
    54,777.24/82,165.95 = 13,224.24/x
  3. Step 3: Cross multiply
    54,777.24x = 82,165.95 × 13,224.24
  4. Step 4: Simplify right side
    54,777.24x = 1,086,582,242.63
  5. Step 5: Solve for x
    x = 1,086,582,242.63/54,777.24
  6. Step 6: Final answer
    x = 19,836.38

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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.