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Finding the Fourth Proportional to 33,989.55, 46,908.75 and 20,564.11

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Solution

The fourth proportional to 33,989.55, 46,908.75 and 20,564.11 is: 28,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,989.55 : 46,908.75 = 20,564.11 : x
  2. Step 2: Convert to fraction form
    33,989.55/46,908.75 = 20,564.11/x
  3. Step 3: Cross multiply
    33,989.55x = 46,908.75 × 20,564.11
  4. Step 4: Simplify right side
    33,989.55x = 964,636,460.42
  5. Step 5: Solve for x
    x = 964,636,460.42/33,989.55
  6. Step 6: Final answer
    x = 28,380.38

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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.