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Finding the Fourth Proportional to 33,712.65, 46,503.39 and 21,783

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Solution

The fourth proportional to 33,712.65, 46,503.39 and 21,783 is: 30,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.65 : 46,503.39 = 21,783 : x
  2. Step 2: Convert to fraction form
    33,712.65/46,503.39 = 21,783/x
  3. Step 3: Cross multiply
    33,712.65x = 46,503.39 × 21,783
  4. Step 4: Simplify right side
    33,712.65x = 1,012,983,344.37
  5. Step 5: Solve for x
    x = 1,012,983,344.37/33,712.65
  6. Step 6: Final answer
    x = 30,047.57

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