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Finding the Fourth Proportional to 106,543.89, 159,841.87 and 35,466.39

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Solution

The fourth proportional to 106,543.89, 159,841.87 and 35,466.39 is: 53,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.89 : 159,841.87 = 35,466.39 : x
  2. Step 2: Convert to fraction form
    106,543.89/159,841.87 = 35,466.39/x
  3. Step 3: Cross multiply
    106,543.89x = 159,841.87 × 35,466.39
  4. Step 4: Simplify right side
    106,543.89x = 5,669,014,832.16
  5. Step 5: Solve for x
    x = 5,669,014,832.16/106,543.89
  6. Step 6: Final answer
    x = 53,208.26

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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.