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Finding the Fourth Proportional to 115,339.95, 172,958.02 and 48,745.80

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Solution

The fourth proportional to 115,339.95, 172,958.02 and 48,745.80 is: 73,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,339.95 : 172,958.02 = 48,745.80 : x
  2. Step 2: Convert to fraction form
    115,339.95/172,958.02 = 48,745.80/x
  3. Step 3: Cross multiply
    115,339.95x = 172,958.02 × 48,745.80
  4. Step 4: Simplify right side
    115,339.95x = 8,430,976,929.45
  5. Step 5: Solve for x
    x = 8,430,976,929.45/115,339.95
  6. Step 6: Final answer
    x = 73,096.76

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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.