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Finding the Fourth Proportional to 30,416.78, 42,004.14 and 28,760.24

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Solution

The fourth proportional to 30,416.78, 42,004.14 and 28,760.24 is: 39,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.78 : 42,004.14 = 28,760.24 : x
  2. Step 2: Convert to fraction form
    30,416.78/42,004.14 = 28,760.24/x
  3. Step 3: Cross multiply
    30,416.78x = 42,004.14 × 28,760.24
  4. Step 4: Simplify right side
    30,416.78x = 1,208,049,147.39
  5. Step 5: Solve for x
    x = 1,208,049,147.39/30,416.78
  6. Step 6: Final answer
    x = 39,716.54

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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.