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Finding the Fourth Proportional to 75,133, 103,686.78 and 41,599

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Solution

The fourth proportional to 75,133, 103,686.78 and 41,599 is: 57,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,133 : 103,686.78 = 41,599 : x
  2. Step 2: Convert to fraction form
    75,133/103,686.78 = 41,599/x
  3. Step 3: Cross multiply
    75,133x = 103,686.78 × 41,599
  4. Step 4: Simplify right side
    75,133x = 4,313,266,361.22
  5. Step 5: Solve for x
    x = 4,313,266,361.22/75,133
  6. Step 6: Final answer
    x = 57,408.41

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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.