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Finding the Fourth Proportional to 32,986, 45,520.84 and 19,738

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Solution

The fourth proportional to 32,986, 45,520.84 and 19,738 is: 27,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986 : 45,520.84 = 19,738 : x
  2. Step 2: Convert to fraction form
    32,986/45,520.84 = 19,738/x
  3. Step 3: Cross multiply
    32,986x = 45,520.84 × 19,738
  4. Step 4: Simplify right side
    32,986x = 898,490,339.92
  5. Step 5: Solve for x
    x = 898,490,339.92/32,986
  6. Step 6: Final answer
    x = 27,238.54

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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.