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Finding the Fourth Proportional to 98,682.36, 148,041.80 and 31,231.37

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Solution

The fourth proportional to 98,682.36, 148,041.80 and 31,231.37 is: 46,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,682.36 : 148,041.80 = 31,231.37 : x
  2. Step 2: Convert to fraction form
    98,682.36/148,041.80 = 31,231.37/x
  3. Step 3: Cross multiply
    98,682.36x = 148,041.80 × 31,231.37
  4. Step 4: Simplify right side
    98,682.36x = 4,623,548,231.27
  5. Step 5: Solve for x
    x = 4,623,548,231.27/98,682.36
  6. Step 6: Final answer
    x = 46,852.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.