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Finding the Fourth Proportional to 35,682.76, 49,241.55 and 19,766.86

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Solution

The fourth proportional to 35,682.76, 49,241.55 and 19,766.86 is: 27,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.76 : 49,241.55 = 19,766.86 : x
  2. Step 2: Convert to fraction form
    35,682.76/49,241.55 = 19,766.86/x
  3. Step 3: Cross multiply
    35,682.76x = 49,241.55 × 19,766.86
  4. Step 4: Simplify right side
    35,682.76x = 973,350,825.03
  5. Step 5: Solve for x
    x = 973,350,825.03/35,682.76
  6. Step 6: Final answer
    x = 27,277.90

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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.