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Finding the Fourth Proportional to 30,314.25, 41,836.50 and 17,739

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Solution

The fourth proportional to 30,314.25, 41,836.50 and 17,739 is: 24,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.25 : 41,836.50 = 17,739 : x
  2. Step 2: Convert to fraction form
    30,314.25/41,836.50 = 17,739/x
  3. Step 3: Cross multiply
    30,314.25x = 41,836.50 × 17,739
  4. Step 4: Simplify right side
    30,314.25x = 742,137,673.50
  5. Step 5: Solve for x
    x = 742,137,673.50/30,314.25
  6. Step 6: Final answer
    x = 24,481.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.