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Finding the Fourth Proportional to 48,798.36, 73,201.86 and 13,738.32

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Solution

The fourth proportional to 48,798.36, 73,201.86 and 13,738.32 is: 20,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,798.36 : 73,201.86 = 13,738.32 : x
  2. Step 2: Convert to fraction form
    48,798.36/73,201.86 = 13,738.32/x
  3. Step 3: Cross multiply
    48,798.36x = 73,201.86 × 13,738.32
  4. Step 4: Simplify right side
    48,798.36x = 1,005,670,577.28
  5. Step 5: Solve for x
    x = 1,005,670,577.28/48,798.36
  6. Step 6: Final answer
    x = 20,608.70

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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.