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Finding the Fourth Proportional to 38,907.01, 53,692.19 and 22,784.37

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Solution

The fourth proportional to 38,907.01, 53,692.19 and 22,784.37 is: 31,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907.01 : 53,692.19 = 22,784.37 : x
  2. Step 2: Convert to fraction form
    38,907.01/53,692.19 = 22,784.37/x
  3. Step 3: Cross multiply
    38,907.01x = 53,692.19 × 22,784.37
  4. Step 4: Simplify right side
    38,907.01x = 1,223,342,493.24
  5. Step 5: Solve for x
    x = 1,223,342,493.24/38,907.01
  6. Step 6: Final answer
    x = 31,442.73

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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.