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Finding the Fourth Proportional to 33,378, 46,061.69 and 20,802.75

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Solution

The fourth proportional to 33,378, 46,061.69 and 20,802.75 is: 28,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378 : 46,061.69 = 20,802.75 : x
  2. Step 2: Convert to fraction form
    33,378/46,061.69 = 20,802.75/x
  3. Step 3: Cross multiply
    33,378x = 46,061.69 × 20,802.75
  4. Step 4: Simplify right side
    33,378x = 958,209,717.63
  5. Step 5: Solve for x
    x = 958,209,717.63/33,378
  6. Step 6: Final answer
    x = 28,707.82

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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.