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Finding the Fourth Proportional to 97,806.96, 146,655.36 and 31,231.44

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Solution

The fourth proportional to 97,806.96, 146,655.36 and 31,231.44 is: 46,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.96 : 146,655.36 = 31,231.44 : x
  2. Step 2: Convert to fraction form
    97,806.96/146,655.36 = 31,231.44/x
  3. Step 3: Cross multiply
    97,806.96x = 146,655.36 × 31,231.44
  4. Step 4: Simplify right side
    97,806.96x = 4,580,258,076.52
  5. Step 5: Solve for x
    x = 4,580,258,076.52/97,806.96
  6. Step 6: Final answer
    x = 46,829.57

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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.