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Finding the Fourth Proportional to 96,264.70, 132,846.14 and 53,823.26

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Solution

The fourth proportional to 96,264.70, 132,846.14 and 53,823.26 is: 74,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,264.70 : 132,846.14 = 53,823.26 : x
  2. Step 2: Convert to fraction form
    96,264.70/132,846.14 = 53,823.26/x
  3. Step 3: Cross multiply
    96,264.70x = 132,846.14 × 53,823.26
  4. Step 4: Simplify right side
    96,264.70x = 7,150,212,333.22
  5. Step 5: Solve for x
    x = 7,150,212,333.22/96,264.70
  6. Step 6: Final answer
    x = 74,276.58

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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.