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Finding the Fourth Proportional to 75,127.31, 103,675.71 and 41,137.95

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Solution

The fourth proportional to 75,127.31, 103,675.71 and 41,137.95 is: 56,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,127.31 : 103,675.71 = 41,137.95 : x
  2. Step 2: Convert to fraction form
    75,127.31/103,675.71 = 41,137.95/x
  3. Step 3: Cross multiply
    75,127.31x = 103,675.71 × 41,137.95
  4. Step 4: Simplify right side
    75,127.31x = 4,265,005,801.39
  5. Step 5: Solve for x
    x = 4,265,005,801.39/75,127.31
  6. Step 6: Final answer
    x = 56,770.38

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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.