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Finding the Fourth Proportional to 105,995.40, 158,894.28 and 35,825.64

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Solution

The fourth proportional to 105,995.40, 158,894.28 and 35,825.64 is: 53,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,995.40 : 158,894.28 = 35,825.64 : x
  2. Step 2: Convert to fraction form
    105,995.40/158,894.28 = 35,825.64/x
  3. Step 3: Cross multiply
    105,995.40x = 158,894.28 × 35,825.64
  4. Step 4: Simplify right side
    105,995.40x = 5,692,489,273.34
  5. Step 5: Solve for x
    x = 5,692,489,273.34/105,995.40
  6. Step 6: Final answer
    x = 53,705.06

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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.