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Finding the Fourth Proportional to 74,193.81, 102,431.22 and 48,744.64

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Solution

The fourth proportional to 74,193.81, 102,431.22 and 48,744.64 is: 67,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,193.81 : 102,431.22 = 48,744.64 : x
  2. Step 2: Convert to fraction form
    74,193.81/102,431.22 = 48,744.64/x
  3. Step 3: Cross multiply
    74,193.81x = 102,431.22 × 48,744.64
  4. Step 4: Simplify right side
    74,193.81x = 4,992,972,943.66
  5. Step 5: Solve for x
    x = 4,992,972,943.66/74,193.81
  6. Step 6: Final answer
    x = 67,296.35

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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.