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Finding the Fourth Proportional to 61,254.36, 84,536.46 and 36,099

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Solution

The fourth proportional to 61,254.36, 84,536.46 and 36,099 is: 49,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,254.36 : 84,536.46 = 36,099 : x
  2. Step 2: Convert to fraction form
    61,254.36/84,536.46 = 36,099/x
  3. Step 3: Cross multiply
    61,254.36x = 84,536.46 × 36,099
  4. Step 4: Simplify right side
    61,254.36x = 3,051,681,669.54
  5. Step 5: Solve for x
    x = 3,051,681,669.54/61,254.36
  6. Step 6: Final answer
    x = 49,819.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.