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Finding the Fourth Proportional to 33,410.34, 46,106.28 and 20,835

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Solution

The fourth proportional to 33,410.34, 46,106.28 and 20,835 is: 28,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,410.34 : 46,106.28 = 20,835 : x
  2. Step 2: Convert to fraction form
    33,410.34/46,106.28 = 20,835/x
  3. Step 3: Cross multiply
    33,410.34x = 46,106.28 × 20,835
  4. Step 4: Simplify right side
    33,410.34x = 960,624,343.80
  5. Step 5: Solve for x
    x = 960,624,343.80/33,410.34
  6. Step 6: Final answer
    x = 28,752.31

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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.