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Finding the Fourth Proportional to 89,452, 123,444 and 49,708

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Solution

The fourth proportional to 89,452, 123,444 and 49,708 is: 68,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,452 : 123,444 = 49,708 : x
  2. Step 2: Convert to fraction form
    89,452/123,444 = 49,708/x
  3. Step 3: Cross multiply
    89,452x = 123,444 × 49,708
  4. Step 4: Simplify right side
    89,452x = 6,136,154,352
  5. Step 5: Solve for x
    x = 6,136,154,352/89,452
  6. Step 6: Final answer
    x = 68,597.17

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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.