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Finding the Fourth Proportional to 75,295.52, 112,721.38 and 65,953.80

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Solution

The fourth proportional to 75,295.52, 112,721.38 and 65,953.80 is: 98,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,295.52 : 112,721.38 = 65,953.80 : x
  2. Step 2: Convert to fraction form
    75,295.52/112,721.38 = 65,953.80/x
  3. Step 3: Cross multiply
    75,295.52x = 112,721.38 × 65,953.80
  4. Step 4: Simplify right side
    75,295.52x = 7,434,403,352.24
  5. Step 5: Solve for x
    x = 7,434,403,352.24/75,295.52
  6. Step 6: Final answer
    x = 98,736.33

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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.