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Finding the Fourth Proportional to 33,828.64, 46,638.76 and 27,756.64

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Solution

The fourth proportional to 33,828.64, 46,638.76 and 27,756.64 is: 38,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.64 : 46,638.76 = 27,756.64 : x
  2. Step 2: Convert to fraction form
    33,828.64/46,638.76 = 27,756.64/x
  3. Step 3: Cross multiply
    33,828.64x = 46,638.76 × 27,756.64
  4. Step 4: Simplify right side
    33,828.64x = 1,294,535,271.37
  5. Step 5: Solve for x
    x = 1,294,535,271.37/33,828.64
  6. Step 6: Final answer
    x = 38,267.43

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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.