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Finding the Fourth Proportional to 123,954.48, 185,933.52 and 35,208.12

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Solution

The fourth proportional to 123,954.48, 185,933.52 and 35,208.12 is: 52,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,954.48 : 185,933.52 = 35,208.12 : x
  2. Step 2: Convert to fraction form
    123,954.48/185,933.52 = 35,208.12/x
  3. Step 3: Cross multiply
    123,954.48x = 185,933.52 × 35,208.12
  4. Step 4: Simplify right side
    123,954.48x = 6,546,369,684.18
  5. Step 5: Solve for x
    x = 6,546,369,684.18/123,954.48
  6. Step 6: Final answer
    x = 52,812.69

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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.