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Finding the Fourth Proportional to 105,745.78, 158,642.61 and 35,623.18

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Solution

The fourth proportional to 105,745.78, 158,642.61 and 35,623.18 is: 53,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.78 : 158,642.61 = 35,623.18 : x
  2. Step 2: Convert to fraction form
    105,745.78/158,642.61 = 35,623.18/x
  3. Step 3: Cross multiply
    105,745.78x = 158,642.61 × 35,623.18
  4. Step 4: Simplify right side
    105,745.78x = 5,651,354,251.70
  5. Step 5: Solve for x
    x = 5,651,354,251.70/105,745.78
  6. Step 6: Final answer
    x = 53,442.83

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1.5x scale

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.