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Finding the Fourth Proportional to 50,716.53, 69,984.41 and 28,055.16

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Solution

The fourth proportional to 50,716.53, 69,984.41 and 28,055.16 is: 38,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716.53 : 69,984.41 = 28,055.16 : x
  2. Step 2: Convert to fraction form
    50,716.53/69,984.41 = 28,055.16/x
  3. Step 3: Cross multiply
    50,716.53x = 69,984.41 × 28,055.16
  4. Step 4: Simplify right side
    50,716.53x = 1,963,423,679.78
  5. Step 5: Solve for x
    x = 1,963,423,679.78/50,716.53
  6. Step 6: Final answer
    x = 38,713.68

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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.