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Finding the Fourth Proportional to 50,685.74, 69,943.49 and 28,023.41

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Solution

The fourth proportional to 50,685.74, 69,943.49 and 28,023.41 is: 38,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,685.74 : 69,943.49 = 28,023.41 : x
  2. Step 2: Convert to fraction form
    50,685.74/69,943.49 = 28,023.41/x
  3. Step 3: Cross multiply
    50,685.74x = 69,943.49 × 28,023.41
  4. Step 4: Simplify right side
    50,685.74x = 1,960,055,097.10
  5. Step 5: Solve for x
    x = 1,960,055,097.10/50,685.74
  6. Step 6: Final answer
    x = 38,670.74

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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.