Home / 30,724.12-46,084.38-9,946

Finding the Fourth Proportional to 30,724.12, 46,084.38 and 9,946

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Solution

The fourth proportional to 30,724.12, 46,084.38 and 9,946 is: 14,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.12 : 46,084.38 = 9,946 : x
  2. Step 2: Convert to fraction form
    30,724.12/46,084.38 = 9,946/x
  3. Step 3: Cross multiply
    30,724.12x = 46,084.38 × 9,946
  4. Step 4: Simplify right side
    30,724.12x = 458,355,243.48
  5. Step 5: Solve for x
    x = 458,355,243.48/30,724.12
  6. Step 6: Final answer
    x = 14,918.42

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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.