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Finding the Fourth Proportional to 54,893.04, 75,692.26 and 35,737.48

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Solution

The fourth proportional to 54,893.04, 75,692.26 and 35,737.48 is: 49,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.04 : 75,692.26 = 35,737.48 : x
  2. Step 2: Convert to fraction form
    54,893.04/75,692.26 = 35,737.48/x
  3. Step 3: Cross multiply
    54,893.04x = 75,692.26 × 35,737.48
  4. Step 4: Simplify right side
    54,893.04x = 2,705,050,627.90
  5. Step 5: Solve for x
    x = 2,705,050,627.90/54,893.04
  6. Step 6: Final answer
    x = 49,278.57

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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.