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Finding the Fourth Proportional to 38,907.80, 53,692.06 and 21,911.98

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Solution

The fourth proportional to 38,907.80, 53,692.06 and 21,911.98 is: 30,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907.80 : 53,692.06 = 21,911.98 : x
  2. Step 2: Convert to fraction form
    38,907.80/53,692.06 = 21,911.98/x
  3. Step 3: Cross multiply
    38,907.80x = 53,692.06 × 21,911.98
  4. Step 4: Simplify right side
    38,907.80x = 1,176,499,344.88
  5. Step 5: Solve for x
    x = 1,176,499,344.88/38,907.80
  6. Step 6: Final answer
    x = 30,238.14

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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.