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Finding the Fourth Proportional to 35,642.75, 49,199.96 and 20,738.75

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Solution

The fourth proportional to 35,642.75, 49,199.96 and 20,738.75 is: 28,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.75 : 49,199.96 = 20,738.75 : x
  2. Step 2: Convert to fraction form
    35,642.75/49,199.96 = 20,738.75/x
  3. Step 3: Cross multiply
    35,642.75x = 49,199.96 × 20,738.75
  4. Step 4: Simplify right side
    35,642.75x = 1,020,345,670.45
  5. Step 5: Solve for x
    x = 1,020,345,670.45/35,642.75
  6. Step 6: Final answer
    x = 28,627.02

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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.