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Finding the Fourth Proportional to 75,284.82, 103,893.57 and 41,752.98

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Solution

The fourth proportional to 75,284.82, 103,893.57 and 41,752.98 is: 57,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.82 : 103,893.57 = 41,752.98 : x
  2. Step 2: Convert to fraction form
    75,284.82/103,893.57 = 41,752.98/x
  3. Step 3: Cross multiply
    75,284.82x = 103,893.57 × 41,752.98
  4. Step 4: Simplify right side
    75,284.82x = 4,337,866,150.34
  5. Step 5: Solve for x
    x = 4,337,866,150.34/75,284.82
  6. Step 6: Final answer
    x = 57,619.40

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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.