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Finding the Fourth Proportional to 105,775.54, 158,662.09 and 35,704.06

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Solution

The fourth proportional to 105,775.54, 158,662.09 and 35,704.06 is: 53,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,775.54 : 158,662.09 = 35,704.06 : x
  2. Step 2: Convert to fraction form
    105,775.54/158,662.09 = 35,704.06/x
  3. Step 3: Cross multiply
    105,775.54x = 158,662.09 × 35,704.06
  4. Step 4: Simplify right side
    105,775.54x = 5,664,880,781.09
  5. Step 5: Solve for x
    x = 5,664,880,781.09/105,775.54
  6. Step 6: Final answer
    x = 53,555.68

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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.