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Finding the Fourth Proportional to 50,248, 69,348.64 and 30,376

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Solution

The fourth proportional to 50,248, 69,348.64 and 30,376 is: 41,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,248 : 69,348.64 = 30,376 : x
  2. Step 2: Convert to fraction form
    50,248/69,348.64 = 30,376/x
  3. Step 3: Cross multiply
    50,248x = 69,348.64 × 30,376
  4. Step 4: Simplify right side
    50,248x = 2,106,534,288.64
  5. Step 5: Solve for x
    x = 2,106,534,288.64/50,248
  6. Step 6: Final answer
    x = 41,922.75

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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.