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Finding the Fourth Proportional to 35,684.33, 49,245.98 and 19,768.77

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Solution

The fourth proportional to 35,684.33, 49,245.98 and 19,768.77 is: 27,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.33 : 49,245.98 = 19,768.77 : x
  2. Step 2: Convert to fraction form
    35,684.33/49,245.98 = 19,768.77/x
  3. Step 3: Cross multiply
    35,684.33x = 49,245.98 × 19,768.77
  4. Step 4: Simplify right side
    35,684.33x = 973,532,353.20
  5. Step 5: Solve for x
    x = 973,532,353.20/35,684.33
  6. Step 6: Final answer
    x = 27,281.79

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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.