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Finding the Fourth Proportional to 65,907.67, 90,952.43 and 35,692.90

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Solution

The fourth proportional to 65,907.67, 90,952.43 and 35,692.90 is: 49,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907.67 : 90,952.43 = 35,692.90 : x
  2. Step 2: Convert to fraction form
    65,907.67/90,952.43 = 35,692.90/x
  3. Step 3: Cross multiply
    65,907.67x = 90,952.43 × 35,692.90
  4. Step 4: Simplify right side
    65,907.67x = 3,246,355,988.75
  5. Step 5: Solve for x
    x = 3,246,355,988.75/65,907.67
  6. Step 6: Final answer
    x = 49,256.12

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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.