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Finding the Fourth Proportional to 117,963, 176,973.66 and 34,857

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Solution

The fourth proportional to 117,963, 176,973.66 and 34,857 is: 52,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,963 : 176,973.66 = 34,857 : x
  2. Step 2: Convert to fraction form
    117,963/176,973.66 = 34,857/x
  3. Step 3: Cross multiply
    117,963x = 176,973.66 × 34,857
  4. Step 4: Simplify right side
    117,963x = 6,168,770,866.62
  5. Step 5: Solve for x
    x = 6,168,770,866.62/117,963
  6. Step 6: Final answer
    x = 52,294.12

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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.