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Finding the Fourth Proportional to 98,564.39, 147,793.31 and 31,083.69

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Solution

The fourth proportional to 98,564.39, 147,793.31 and 31,083.69 is: 46,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564.39 : 147,793.31 = 31,083.69 : x
  2. Step 2: Convert to fraction form
    98,564.39/147,793.31 = 31,083.69/x
  3. Step 3: Cross multiply
    98,564.39x = 147,793.31 × 31,083.69
  4. Step 4: Simplify right side
    98,564.39x = 4,593,961,432.11
  5. Step 5: Solve for x
    x = 4,593,961,432.11/98,564.39
  6. Step 6: Final answer
    x = 46,608.73

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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.