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Finding the Fourth Proportional to 55,867, 77,096.48 and 30,716.52

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Solution

The fourth proportional to 55,867, 77,096.48 and 30,716.52 is: 42,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,867 : 77,096.48 = 30,716.52 : x
  2. Step 2: Convert to fraction form
    55,867/77,096.48 = 30,716.52/x
  3. Step 3: Cross multiply
    55,867x = 77,096.48 × 30,716.52
  4. Step 4: Simplify right side
    55,867x = 2,368,135,569.85
  5. Step 5: Solve for x
    x = 2,368,135,569.85/55,867
  6. Step 6: Final answer
    x = 42,388.81

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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.