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Finding the Fourth Proportional to 50,814, 70,123.68 and 28,458

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Solution

The fourth proportional to 50,814, 70,123.68 and 28,458 is: 39,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,814 : 70,123.68 = 28,458 : x
  2. Step 2: Convert to fraction form
    50,814/70,123.68 = 28,458/x
  3. Step 3: Cross multiply
    50,814x = 70,123.68 × 28,458
  4. Step 4: Simplify right side
    50,814x = 1,995,579,685.44
  5. Step 5: Solve for x
    x = 1,995,579,685.44/50,814
  6. Step 6: Final answer
    x = 39,272.24

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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.