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Finding the Fourth Proportional to 94,805.64, 142,231.84 and 28,245.50

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Solution

The fourth proportional to 94,805.64, 142,231.84 and 28,245.50 is: 42,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,805.64 : 142,231.84 = 28,245.50 : x
  2. Step 2: Convert to fraction form
    94,805.64/142,231.84 = 28,245.50/x
  3. Step 3: Cross multiply
    94,805.64x = 142,231.84 × 28,245.50
  4. Step 4: Simplify right side
    94,805.64x = 4,017,409,436.72
  5. Step 5: Solve for x
    x = 4,017,409,436.72/94,805.64
  6. Step 6: Final answer
    x = 42,375.22

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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.