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Finding the Fourth Proportional to 30,680, 46,019.91 and 9,621.68

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Solution

The fourth proportional to 30,680, 46,019.91 and 9,621.68 is: 14,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680 : 46,019.91 = 9,621.68 : x
  2. Step 2: Convert to fraction form
    30,680/46,019.91 = 9,621.68/x
  3. Step 3: Cross multiply
    30,680x = 46,019.91 × 9,621.68
  4. Step 4: Simplify right side
    30,680x = 442,788,847.65
  5. Step 5: Solve for x
    x = 442,788,847.65/30,680
  6. Step 6: Final answer
    x = 14,432.49

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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.