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Finding the Fourth Proportional to 74,553, 102,883.14 and 41,019

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Solution

The fourth proportional to 74,553, 102,883.14 and 41,019 is: 56,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,553 : 102,883.14 = 41,019 : x
  2. Step 2: Convert to fraction form
    74,553/102,883.14 = 41,019/x
  3. Step 3: Cross multiply
    74,553x = 102,883.14 × 41,019
  4. Step 4: Simplify right side
    74,553x = 4,220,163,519.66
  5. Step 5: Solve for x
    x = 4,220,163,519.66/74,553
  6. Step 6: Final answer
    x = 56,606.22

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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.