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Finding the Fourth Proportional to 117,957, 176,964.66 and 34,851

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Solution

The fourth proportional to 117,957, 176,964.66 and 34,851 is: 52,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,957 : 176,964.66 = 34,851 : x
  2. Step 2: Convert to fraction form
    117,957/176,964.66 = 34,851/x
  3. Step 3: Cross multiply
    117,957x = 176,964.66 × 34,851
  4. Step 4: Simplify right side
    117,957x = 6,167,395,365.66
  5. Step 5: Solve for x
    x = 6,167,395,365.66/117,957
  6. Step 6: Final answer
    x = 52,285.12

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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.