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Finding the Fourth Proportional to 129,096, 193,644 and 41,544

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Solution

The fourth proportional to 129,096, 193,644 and 41,544 is: 62,316

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,096 : 193,644 = 41,544 : x
  2. Step 2: Convert to fraction form
    129,096/193,644 = 41,544/x
  3. Step 3: Cross multiply
    129,096x = 193,644 × 41,544
  4. Step 4: Simplify right side
    129,096x = 8,044,746,336
  5. Step 5: Solve for x
    x = 8,044,746,336/129,096
  6. Step 6: Final answer
    x = 62,316

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.