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Finding the Fourth Proportional to 30,464.64, 45,694.08 and 9,684.48

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Solution

The fourth proportional to 30,464.64, 45,694.08 and 9,684.48 is: 14,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.64 : 45,694.08 = 9,684.48 : x
  2. Step 2: Convert to fraction form
    30,464.64/45,694.08 = 9,684.48/x
  3. Step 3: Cross multiply
    30,464.64x = 45,694.08 × 9,684.48
  4. Step 4: Simplify right side
    30,464.64x = 442,523,403.88
  5. Step 5: Solve for x
    x = 442,523,403.88/30,464.64
  6. Step 6: Final answer
    x = 14,525.80

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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.