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Finding the Fourth Proportional to 90,645.44, 135,954.10 and 46,304.96

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Solution

The fourth proportional to 90,645.44, 135,954.10 and 46,304.96 is: 69,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,645.44 : 135,954.10 = 46,304.96 : x
  2. Step 2: Convert to fraction form
    90,645.44/135,954.10 = 46,304.96/x
  3. Step 3: Cross multiply
    90,645.44x = 135,954.10 × 46,304.96
  4. Step 4: Simplify right side
    90,645.44x = 6,295,349,162.34
  5. Step 5: Solve for x
    x = 6,295,349,162.34/90,645.44
  6. Step 6: Final answer
    x = 69,450.26

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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.