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Finding the Fourth Proportional to 30,708.86, 46,063.28 and 8,522.42

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Solution

The fourth proportional to 30,708.86, 46,063.28 and 8,522.42 is: 12,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,708.86 : 46,063.28 = 8,522.42 : x
  2. Step 2: Convert to fraction form
    30,708.86/46,063.28 = 8,522.42/x
  3. Step 3: Cross multiply
    30,708.86x = 46,063.28 × 8,522.42
  4. Step 4: Simplify right side
    30,708.86x = 392,570,409.73
  5. Step 5: Solve for x
    x = 392,570,409.73/30,708.86
  6. Step 6: Final answer
    x = 12,783.62

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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.