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Finding the Fourth Proportional to 32,648, 45,054.24 and 19,400

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Solution

The fourth proportional to 32,648, 45,054.24 and 19,400 is: 26,772

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648 : 45,054.24 = 19,400 : x
  2. Step 2: Convert to fraction form
    32,648/45,054.24 = 19,400/x
  3. Step 3: Cross multiply
    32,648x = 45,054.24 × 19,400
  4. Step 4: Simplify right side
    32,648x = 874,052,256
  5. Step 5: Solve for x
    x = 874,052,256/32,648
  6. Step 6: Final answer
    x = 26,772

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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.