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Finding the Fourth Proportional to 54,850.88, 82,276.80 and 13,298.24

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Solution

The fourth proportional to 54,850.88, 82,276.80 and 13,298.24 is: 19,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850.88 : 82,276.80 = 13,298.24 : x
  2. Step 2: Convert to fraction form
    54,850.88/82,276.80 = 13,298.24/x
  3. Step 3: Cross multiply
    54,850.88x = 82,276.80 × 13,298.24
  4. Step 4: Simplify right side
    54,850.88x = 1,094,136,632.83
  5. Step 5: Solve for x
    x = 1,094,136,632.83/54,850.88
  6. Step 6: Final answer
    x = 19,947.48

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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.