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Finding the Fourth Proportional to 96,676.50, 145,003.98 and 30,111.06

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Solution

The fourth proportional to 96,676.50, 145,003.98 and 30,111.06 is: 45,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,676.50 : 145,003.98 = 30,111.06 : x
  2. Step 2: Convert to fraction form
    96,676.50/145,003.98 = 30,111.06/x
  3. Step 3: Cross multiply
    96,676.50x = 145,003.98 × 30,111.06
  4. Step 4: Simplify right side
    96,676.50x = 4,366,223,542.02
  5. Step 5: Solve for x
    x = 4,366,223,542.02/96,676.50
  6. Step 6: Final answer
    x = 45,163.24

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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.