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Finding the Fourth Proportional to 109,791.30, 164,696.70 and 45,735.30

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Solution

The fourth proportional to 109,791.30, 164,696.70 and 45,735.30 is: 68,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,791.30 : 164,696.70 = 45,735.30 : x
  2. Step 2: Convert to fraction form
    109,791.30/164,696.70 = 45,735.30/x
  3. Step 3: Cross multiply
    109,791.30x = 164,696.70 × 45,735.30
  4. Step 4: Simplify right side
    109,791.30x = 7,532,452,983.51
  5. Step 5: Solve for x
    x = 7,532,452,983.51/109,791.30
  6. Step 6: Final answer
    x = 68,607.01

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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.