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Finding the Fourth Proportional to 78,067.25, 107,747.40 and 44,533.25

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Solution

The fourth proportional to 78,067.25, 107,747.40 and 44,533.25 is: 61,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.25 : 107,747.40 = 44,533.25 : x
  2. Step 2: Convert to fraction form
    78,067.25/107,747.40 = 44,533.25/x
  3. Step 3: Cross multiply
    78,067.25x = 107,747.40 × 44,533.25
  4. Step 4: Simplify right side
    78,067.25x = 4,798,341,901.05
  5. Step 5: Solve for x
    x = 4,798,341,901.05/78,067.25
  6. Step 6: Final answer
    x = 61,464.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.