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Finding the Fourth Proportional to 75,232, 103,820.34 and 41,698

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Solution

The fourth proportional to 75,232, 103,820.34 and 41,698 is: 57,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,232 : 103,820.34 = 41,698 : x
  2. Step 2: Convert to fraction form
    75,232/103,820.34 = 41,698/x
  3. Step 3: Cross multiply
    75,232x = 103,820.34 × 41,698
  4. Step 4: Simplify right side
    75,232x = 4,329,100,537.32
  5. Step 5: Solve for x
    x = 4,329,100,537.32/75,232
  6. Step 6: Final answer
    x = 57,543.34

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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.