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Finding the Fourth Proportional to 117,696, 176,544 and 34,590

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Solution

The fourth proportional to 117,696, 176,544 and 34,590 is: 51,885

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696 : 176,544 = 34,590 : x
  2. Step 2: Convert to fraction form
    117,696/176,544 = 34,590/x
  3. Step 3: Cross multiply
    117,696x = 176,544 × 34,590
  4. Step 4: Simplify right side
    117,696x = 6,106,656,960
  5. Step 5: Solve for x
    x = 6,106,656,960/117,696
  6. Step 6: Final answer
    x = 51,885

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Why These Related Problems?

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