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Finding the Fourth Proportional to 30,668.40, 46,002.58 and 9,608.61

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Solution

The fourth proportional to 30,668.40, 46,002.58 and 9,608.61 is: 14,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.40 : 46,002.58 = 9,608.61 : x
  2. Step 2: Convert to fraction form
    30,668.40/46,002.58 = 9,608.61/x
  3. Step 3: Cross multiply
    30,668.40x = 46,002.58 × 9,608.61
  4. Step 4: Simplify right side
    30,668.40x = 442,020,850.21
  5. Step 5: Solve for x
    x = 442,020,850.21/30,668.40
  6. Step 6: Final answer
    x = 14,412.91

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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.