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Finding the Fourth Proportional to 98,006.58, 146,999.79 and 31,494.42

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Solution

The fourth proportional to 98,006.58, 146,999.79 and 31,494.42 is: 47,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,006.58 : 146,999.79 = 31,494.42 : x
  2. Step 2: Convert to fraction form
    98,006.58/146,999.79 = 31,494.42/x
  3. Step 3: Cross multiply
    98,006.58x = 146,999.79 × 31,494.42
  4. Step 4: Simplify right side
    98,006.58x = 4,629,673,126.17
  5. Step 5: Solve for x
    x = 4,629,673,126.17/98,006.58
  6. Step 6: Final answer
    x = 47,238.39

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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.