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Finding the Fourth Proportional to 75,295.88, 103,896.50 and 43,458.84

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Solution

The fourth proportional to 75,295.88, 103,896.50 and 43,458.84 is: 59,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,295.88 : 103,896.50 = 43,458.84 : x
  2. Step 2: Convert to fraction form
    75,295.88/103,896.50 = 43,458.84/x
  3. Step 3: Cross multiply
    75,295.88x = 103,896.50 × 43,458.84
  4. Step 4: Simplify right side
    75,295.88x = 4,515,221,370.06
  5. Step 5: Solve for x
    x = 4,515,221,370.06/75,295.88
  6. Step 6: Final answer
    x = 59,966.38

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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.