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Finding the Fourth Proportional to 77,305.51, 115,699.89 and 44,016.64

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Solution

The fourth proportional to 77,305.51, 115,699.89 and 44,016.64 is: 65,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,305.51 : 115,699.89 = 44,016.64 : x
  2. Step 2: Convert to fraction form
    77,305.51/115,699.89 = 44,016.64/x
  3. Step 3: Cross multiply
    77,305.51x = 115,699.89 × 44,016.64
  4. Step 4: Simplify right side
    77,305.51x = 5,092,720,607.39
  5. Step 5: Solve for x
    x = 5,092,720,607.39/77,305.51
  6. Step 6: Final answer
    x = 65,877.84

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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.