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Finding the Fourth Proportional to 30,922.98, 46,388.04 and 9,855.60

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Solution

The fourth proportional to 30,922.98, 46,388.04 and 9,855.60 is: 14,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.98 : 46,388.04 = 9,855.60 : x
  2. Step 2: Convert to fraction form
    30,922.98/46,388.04 = 9,855.60/x
  3. Step 3: Cross multiply
    30,922.98x = 46,388.04 × 9,855.60
  4. Step 4: Simplify right side
    30,922.98x = 457,181,967.02
  5. Step 5: Solve for x
    x = 457,181,967.02/30,922.98
  6. Step 6: Final answer
    x = 14,784.54

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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.