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Finding the Fourth Proportional to 30,823.95, 42,539.30 and 17,396.38

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Solution

The fourth proportional to 30,823.95, 42,539.30 and 17,396.38 is: 24,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.95 : 42,539.30 = 17,396.38 : x
  2. Step 2: Convert to fraction form
    30,823.95/42,539.30 = 17,396.38/x
  3. Step 3: Cross multiply
    30,823.95x = 42,539.30 × 17,396.38
  4. Step 4: Simplify right side
    30,823.95x = 740,029,764.88
  5. Step 5: Solve for x
    x = 740,029,764.88/30,823.95
  6. Step 6: Final answer
    x = 24,008.27

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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.