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Finding the Fourth Proportional to 89,248, 123,168 and 49,504

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Solution

The fourth proportional to 89,248, 123,168 and 49,504 is: 68,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,248 : 123,168 = 49,504 : x
  2. Step 2: Convert to fraction form
    89,248/123,168 = 49,504/x
  3. Step 3: Cross multiply
    89,248x = 123,168 × 49,504
  4. Step 4: Simplify right side
    89,248x = 6,097,308,672
  5. Step 5: Solve for x
    x = 6,097,308,672/89,248
  6. Step 6: Final answer
    x = 68,318.71

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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.