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Finding the Fourth Proportional to 74,964, 103,450.44 and 41,430

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Solution

The fourth proportional to 74,964, 103,450.44 and 41,430 is: 57,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,964 : 103,450.44 = 41,430 : x
  2. Step 2: Convert to fraction form
    74,964/103,450.44 = 41,430/x
  3. Step 3: Cross multiply
    74,964x = 103,450.44 × 41,430
  4. Step 4: Simplify right side
    74,964x = 4,285,951,729.20
  5. Step 5: Solve for x
    x = 4,285,951,729.20/74,964
  6. Step 6: Final answer
    x = 57,173.47

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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.