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Finding the Fourth Proportional to 47,692.98, 71,566.86 and 17,728.02

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Solution

The fourth proportional to 47,692.98, 71,566.86 and 17,728.02 is: 26,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.98 : 71,566.86 = 17,728.02 : x
  2. Step 2: Convert to fraction form
    47,692.98/71,566.86 = 17,728.02/x
  3. Step 3: Cross multiply
    47,692.98x = 71,566.86 × 17,728.02
  4. Step 4: Simplify right side
    47,692.98x = 1,268,738,725.42
  5. Step 5: Solve for x
    x = 1,268,738,725.42/47,692.98
  6. Step 6: Final answer
    x = 26,602.21

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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.