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Finding the Fourth Proportional to 116,056, 174,094.13 and 32,950

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Solution

The fourth proportional to 116,056, 174,094.13 and 32,950 is: 49,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,056 : 174,094.13 = 32,950 : x
  2. Step 2: Convert to fraction form
    116,056/174,094.13 = 32,950/x
  3. Step 3: Cross multiply
    116,056x = 174,094.13 × 32,950
  4. Step 4: Simplify right side
    116,056x = 5,736,401,583.50
  5. Step 5: Solve for x
    x = 5,736,401,583.50/116,056
  6. Step 6: Final answer
    x = 49,427.88

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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.