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Finding the Fourth Proportional to 98,500.86, 147,745.22 and 39,293.91

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Solution

The fourth proportional to 98,500.86, 147,745.22 and 39,293.91 is: 58,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,500.86 : 147,745.22 = 39,293.91 : x
  2. Step 2: Convert to fraction form
    98,500.86/147,745.22 = 39,293.91/x
  3. Step 3: Cross multiply
    98,500.86x = 147,745.22 × 39,293.91
  4. Step 4: Simplify right side
    98,500.86x = 5,805,487,181.14
  5. Step 5: Solve for x
    x = 5,805,487,181.14/98,500.86
  6. Step 6: Final answer
    x = 58,938.44

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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.