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Finding the Fourth Proportional to 30,838.78, 42,556.62 and 17,410.24

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Solution

The fourth proportional to 30,838.78, 42,556.62 and 17,410.24 is: 24,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.78 : 42,556.62 = 17,410.24 : x
  2. Step 2: Convert to fraction form
    30,838.78/42,556.62 = 17,410.24/x
  3. Step 3: Cross multiply
    30,838.78x = 42,556.62 × 17,410.24
  4. Step 4: Simplify right side
    30,838.78x = 740,920,967.79
  5. Step 5: Solve for x
    x = 740,920,967.79/30,838.78
  6. Step 6: Final answer
    x = 24,025.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.