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Finding the Fourth Proportional to 77,093.48, 115,745.13 and 43,383.32

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Solution

The fourth proportional to 77,093.48, 115,745.13 and 43,383.32 is: 65,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,093.48 : 115,745.13 = 43,383.32 : x
  2. Step 2: Convert to fraction form
    77,093.48/115,745.13 = 43,383.32/x
  3. Step 3: Cross multiply
    77,093.48x = 115,745.13 × 43,383.32
  4. Step 4: Simplify right side
    77,093.48x = 5,021,407,597.19
  5. Step 5: Solve for x
    x = 5,021,407,597.19/77,093.48
  6. Step 6: Final answer
    x = 65,134.01

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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.