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Finding the Fourth Proportional to 54,838.58, 82,257.87 and 13,285.58

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Solution

The fourth proportional to 54,838.58, 82,257.87 and 13,285.58 is: 19,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,838.58 : 82,257.87 = 13,285.58 : x
  2. Step 2: Convert to fraction form
    54,838.58/82,257.87 = 13,285.58/x
  3. Step 3: Cross multiply
    54,838.58x = 82,257.87 × 13,285.58
  4. Step 4: Simplify right side
    54,838.58x = 1,092,843,512.51
  5. Step 5: Solve for x
    x = 1,092,843,512.51/54,838.58
  6. Step 6: Final answer
    x = 19,928.37

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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.