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Finding the Fourth Proportional to 115,443.44, 173,182.96 and 48,884

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Solution

The fourth proportional to 115,443.44, 173,182.96 and 48,884 is: 73,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,443.44 : 173,182.96 = 48,884 : x
  2. Step 2: Convert to fraction form
    115,443.44/173,182.96 = 48,884/x
  3. Step 3: Cross multiply
    115,443.44x = 173,182.96 × 48,884
  4. Step 4: Simplify right side
    115,443.44x = 8,465,875,816.64
  5. Step 5: Solve for x
    x = 8,465,875,816.64/115,443.44
  6. Step 6: Final answer
    x = 73,333.54

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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.