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Finding the Fourth Proportional to 81,464.36, 112,424.02 and 45,654.05

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Solution

The fourth proportional to 81,464.36, 112,424.02 and 45,654.05 is: 63,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,464.36 : 112,424.02 = 45,654.05 : x
  2. Step 2: Convert to fraction form
    81,464.36/112,424.02 = 45,654.05/x
  3. Step 3: Cross multiply
    81,464.36x = 112,424.02 × 45,654.05
  4. Step 4: Simplify right side
    81,464.36x = 5,132,611,997.21
  5. Step 5: Solve for x
    x = 5,132,611,997.21/81,464.36
  6. Step 6: Final answer
    x = 63,004.39

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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.