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Finding the Fourth Proportional to 43,795.16, 65,692.72 and 14,213

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Solution

The fourth proportional to 43,795.16, 65,692.72 and 14,213 is: 21,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,795.16 : 65,692.72 = 14,213 : x
  2. Step 2: Convert to fraction form
    43,795.16/65,692.72 = 14,213/x
  3. Step 3: Cross multiply
    43,795.16x = 65,692.72 × 14,213
  4. Step 4: Simplify right side
    43,795.16x = 933,690,629.36
  5. Step 5: Solve for x
    x = 933,690,629.36/43,795.16
  6. Step 6: Final answer
    x = 21,319.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.