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Finding the Fourth Proportional to 34,365.64, 47,407.38 and 21,770.44

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Solution

The fourth proportional to 34,365.64, 47,407.38 and 21,770.44 is: 30,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,365.64 : 47,407.38 = 21,770.44 : x
  2. Step 2: Convert to fraction form
    34,365.64/47,407.38 = 21,770.44/x
  3. Step 3: Cross multiply
    34,365.64x = 47,407.38 × 21,770.44
  4. Step 4: Simplify right side
    34,365.64x = 1,032,079,521.85
  5. Step 5: Solve for x
    x = 1,032,079,521.85/34,365.64
  6. Step 6: Final answer
    x = 30,032.31

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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.