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Finding the Fourth Proportional to 54,823.84, 75,692.64 and 33,614.80

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Solution

The fourth proportional to 54,823.84, 75,692.64 and 33,614.80 is: 46,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823.84 : 75,692.64 = 33,614.80 : x
  2. Step 2: Convert to fraction form
    54,823.84/75,692.64 = 33,614.80/x
  3. Step 3: Cross multiply
    54,823.84x = 75,692.64 × 33,614.80
  4. Step 4: Simplify right side
    54,823.84x = 2,544,392,955.07
  5. Step 5: Solve for x
    x = 2,544,392,955.07/54,823.84
  6. Step 6: Final answer
    x = 46,410.34

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1.5x scale

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.