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Finding the Fourth Proportional to 30,651.72, 45,979.20 and 9,594.64

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Solution

The fourth proportional to 30,651.72, 45,979.20 and 9,594.64 is: 14,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.72 : 45,979.20 = 9,594.64 : x
  2. Step 2: Convert to fraction form
    30,651.72/45,979.20 = 9,594.64/x
  3. Step 3: Cross multiply
    30,651.72x = 45,979.20 × 9,594.64
  4. Step 4: Simplify right side
    30,651.72x = 441,153,871.49
  5. Step 5: Solve for x
    x = 441,153,871.49/30,651.72
  6. Step 6: Final answer
    x = 14,392.47

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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.