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Finding the Fourth Proportional to 117,880, 176,824.86 and 34,774

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Solution

The fourth proportional to 117,880, 176,824.86 and 34,774 is: 52,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,880 : 176,824.86 = 34,774 : x
  2. Step 2: Convert to fraction form
    117,880/176,824.86 = 34,774/x
  3. Step 3: Cross multiply
    117,880x = 176,824.86 × 34,774
  4. Step 4: Simplify right side
    117,880x = 6,148,907,681.64
  5. Step 5: Solve for x
    x = 6,148,907,681.64/117,880
  6. Step 6: Final answer
    x = 52,162.43

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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.