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Finding the Fourth Proportional to 75,891.52, 113,827.51 and 23,296.60

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Solution

The fourth proportional to 75,891.52, 113,827.51 and 23,296.60 is: 34,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891.52 : 113,827.51 = 23,296.60 : x
  2. Step 2: Convert to fraction form
    75,891.52/113,827.51 = 23,296.60/x
  3. Step 3: Cross multiply
    75,891.52x = 113,827.51 × 23,296.60
  4. Step 4: Simplify right side
    75,891.52x = 2,651,793,969.47
  5. Step 5: Solve for x
    x = 2,651,793,969.47/75,891.52
  6. Step 6: Final answer
    x = 34,941.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.