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Finding the Fourth Proportional to 35,684.86, 49,241.51 and 19,766.33

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Solution

The fourth proportional to 35,684.86, 49,241.51 and 19,766.33 is: 27,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.86 : 49,241.51 = 19,766.33 : x
  2. Step 2: Convert to fraction form
    35,684.86/49,241.51 = 19,766.33/x
  3. Step 3: Cross multiply
    35,684.86x = 49,241.51 × 19,766.33
  4. Step 4: Simplify right side
    35,684.86x = 973,323,936.36
  5. Step 5: Solve for x
    x = 973,323,936.36/35,684.86
  6. Step 6: Final answer
    x = 27,275.55

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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.