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Finding the Fourth Proportional to 33,749.84, 46,509 and 24,300.56

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Solution

The fourth proportional to 33,749.84, 46,509 and 24,300.56 is: 33,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,749.84 : 46,509 = 24,300.56 : x
  2. Step 2: Convert to fraction form
    33,749.84/46,509 = 24,300.56/x
  3. Step 3: Cross multiply
    33,749.84x = 46,509 × 24,300.56
  4. Step 4: Simplify right side
    33,749.84x = 1,130,194,745.04
  5. Step 5: Solve for x
    x = 1,130,194,745.04/33,749.84
  6. Step 6: Final answer
    x = 33,487.41

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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.