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Finding the Fourth Proportional to 30,521.64, 42,121.80 and 17,092.38

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Solution

The fourth proportional to 30,521.64, 42,121.80 and 17,092.38 is: 23,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521.64 : 42,121.80 = 17,092.38 : x
  2. Step 2: Convert to fraction form
    30,521.64/42,121.80 = 17,092.38/x
  3. Step 3: Cross multiply
    30,521.64x = 42,121.80 × 17,092.38
  4. Step 4: Simplify right side
    30,521.64x = 719,961,811.88
  5. Step 5: Solve for x
    x = 719,961,811.88/30,521.64
  6. Step 6: Final answer
    x = 23,588.57

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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.