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Finding the Fourth Proportional to 30,984.94, 46,480.47 and 9,919.68

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Solution

The fourth proportional to 30,984.94, 46,480.47 and 9,919.68 is: 14,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.94 : 46,480.47 = 9,919.68 : x
  2. Step 2: Convert to fraction form
    30,984.94/46,480.47 = 9,919.68/x
  3. Step 3: Cross multiply
    30,984.94x = 46,480.47 × 9,919.68
  4. Step 4: Simplify right side
    30,984.94x = 461,071,388.65
  5. Step 5: Solve for x
    x = 461,071,388.65/30,984.94
  6. Step 6: Final answer
    x = 14,880.50

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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.