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Finding the Fourth Proportional to 75,959.52, 104,823.52 and 41,967.89

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Solution

The fourth proportional to 75,959.52, 104,823.52 and 41,967.89 is: 57,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.52 : 104,823.52 = 41,967.89 : x
  2. Step 2: Convert to fraction form
    75,959.52/104,823.52 = 41,967.89/x
  3. Step 3: Cross multiply
    75,959.52x = 104,823.52 × 41,967.89
  4. Step 4: Simplify right side
    75,959.52x = 4,399,222,310.46
  5. Step 5: Solve for x
    x = 4,399,222,310.46/75,959.52
  6. Step 6: Final answer
    x = 57,915.35

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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.