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Finding the Fourth Proportional to 30,674.76, 46,021.86 and 10,952.88

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Solution

The fourth proportional to 30,674.76, 46,021.86 and 10,952.88 is: 16,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.76 : 46,021.86 = 10,952.88 : x
  2. Step 2: Convert to fraction form
    30,674.76/46,021.86 = 10,952.88/x
  3. Step 3: Cross multiply
    30,674.76x = 46,021.86 × 10,952.88
  4. Step 4: Simplify right side
    30,674.76x = 504,071,909.96
  5. Step 5: Solve for x
    x = 504,071,909.96/30,674.76
  6. Step 6: Final answer
    x = 16,432.79

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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.