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Finding the Fourth Proportional to 75,953.89, 104,814.52 and 41,965.63

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Solution

The fourth proportional to 75,953.89, 104,814.52 and 41,965.63 is: 57,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953.89 : 104,814.52 = 41,965.63 : x
  2. Step 2: Convert to fraction form
    75,953.89/104,814.52 = 41,965.63/x
  3. Step 3: Cross multiply
    75,953.89x = 104,814.52 × 41,965.63
  4. Step 4: Simplify right side
    75,953.89x = 4,398,607,364.95
  5. Step 5: Solve for x
    x = 4,398,607,364.95/75,953.89
  6. Step 6: Final answer
    x = 57,911.55

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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.