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Finding the Fourth Proportional to 50,594, 69,819.72 and 28,238

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Solution

The fourth proportional to 50,594, 69,819.72 and 28,238 is: 38,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594 : 69,819.72 = 28,238 : x
  2. Step 2: Convert to fraction form
    50,594/69,819.72 = 28,238/x
  3. Step 3: Cross multiply
    50,594x = 69,819.72 × 28,238
  4. Step 4: Simplify right side
    50,594x = 1,971,569,253.36
  5. Step 5: Solve for x
    x = 1,971,569,253.36/50,594
  6. Step 6: Final answer
    x = 38,968.44

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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.