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Finding the Fourth Proportional to 117,684, 176,526 and 34,578

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Solution

The fourth proportional to 117,684, 176,526 and 34,578 is: 51,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,684 : 176,526 = 34,578 : x
  2. Step 2: Convert to fraction form
    117,684/176,526 = 34,578/x
  3. Step 3: Cross multiply
    117,684x = 176,526 × 34,578
  4. Step 4: Simplify right side
    117,684x = 6,103,916,028
  5. Step 5: Solve for x
    x = 6,103,916,028/117,684
  6. Step 6: Final answer
    x = 51,867

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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.