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Finding the Fourth Proportional to 30,922.40, 46,383.60 and 11,201.60

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Solution

The fourth proportional to 30,922.40, 46,383.60 and 11,201.60 is: 16,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.40 : 46,383.60 = 11,201.60 : x
  2. Step 2: Convert to fraction form
    30,922.40/46,383.60 = 11,201.60/x
  3. Step 3: Cross multiply
    30,922.40x = 46,383.60 × 11,201.60
  4. Step 4: Simplify right side
    30,922.40x = 519,570,533.76
  5. Step 5: Solve for x
    x = 519,570,533.76/30,922.40
  6. Step 6: Final answer
    x = 16,802.40

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1.5x scale

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.