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Finding the Fourth Proportional to 33,783.12, 46,602 and 19,634.40

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Solution

The fourth proportional to 33,783.12, 46,602 and 19,634.40 is: 27,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.12 : 46,602 = 19,634.40 : x
  2. Step 2: Convert to fraction form
    33,783.12/46,602 = 19,634.40/x
  3. Step 3: Cross multiply
    33,783.12x = 46,602 × 19,634.40
  4. Step 4: Simplify right side
    33,783.12x = 915,002,308.80
  5. Step 5: Solve for x
    x = 915,002,308.80/33,783.12
  6. Step 6: Final answer
    x = 27,084.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.