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Finding the Fourth Proportional to 54,850.50, 82,275.75 and 13,297.50

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Solution

The fourth proportional to 54,850.50, 82,275.75 and 13,297.50 is: 19,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850.50 : 82,275.75 = 13,297.50 : x
  2. Step 2: Convert to fraction form
    54,850.50/82,275.75 = 13,297.50/x
  3. Step 3: Cross multiply
    54,850.50x = 82,275.75 × 13,297.50
  4. Step 4: Simplify right side
    54,850.50x = 1,094,061,785.63
  5. Step 5: Solve for x
    x = 1,094,061,785.63/54,850.50
  6. Step 6: Final answer
    x = 19,946.25

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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.