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Finding the Fourth Proportional to 72,805.44, 100,474.74 and 40,976.40

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Solution

The fourth proportional to 72,805.44, 100,474.74 and 40,976.40 is: 56,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.44 : 100,474.74 = 40,976.40 : x
  2. Step 2: Convert to fraction form
    72,805.44/100,474.74 = 40,976.40/x
  3. Step 3: Cross multiply
    72,805.44x = 100,474.74 × 40,976.40
  4. Step 4: Simplify right side
    72,805.44x = 4,117,093,136.14
  5. Step 5: Solve for x
    x = 4,117,093,136.14/72,805.44
  6. Step 6: Final answer
    x = 56,549.25

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1.5x scale

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.