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Finding the Fourth Proportional to 35,642.25, 49,199.27 and 20,738.25

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Solution

The fourth proportional to 35,642.25, 49,199.27 and 20,738.25 is: 28,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.25 : 49,199.27 = 20,738.25 : x
  2. Step 2: Convert to fraction form
    35,642.25/49,199.27 = 20,738.25/x
  3. Step 3: Cross multiply
    35,642.25x = 49,199.27 × 20,738.25
  4. Step 4: Simplify right side
    35,642.25x = 1,020,306,657.39
  5. Step 5: Solve for x
    x = 1,020,306,657.39/35,642.25
  6. Step 6: Final answer
    x = 28,626.33

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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.