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Finding the Fourth Proportional to 30,760.48, 46,158 and 12,293.92

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Solution

The fourth proportional to 30,760.48, 46,158 and 12,293.92 is: 18,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.48 : 46,158 = 12,293.92 : x
  2. Step 2: Convert to fraction form
    30,760.48/46,158 = 12,293.92/x
  3. Step 3: Cross multiply
    30,760.48x = 46,158 × 12,293.92
  4. Step 4: Simplify right side
    30,760.48x = 567,462,759.36
  5. Step 5: Solve for x
    x = 567,462,759.36/30,760.48
  6. Step 6: Final answer
    x = 18,447.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.