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Finding the Fourth Proportional to 96,283.86, 132,869.25 and 53,264.97

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Solution

The fourth proportional to 96,283.86, 132,869.25 and 53,264.97 is: 73,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,283.86 : 132,869.25 = 53,264.97 : x
  2. Step 2: Convert to fraction form
    96,283.86/132,869.25 = 53,264.97/x
  3. Step 3: Cross multiply
    96,283.86x = 132,869.25 × 53,264.97
  4. Step 4: Simplify right side
    96,283.86x = 7,077,276,615.17
  5. Step 5: Solve for x
    x = 7,077,276,615.17/96,283.86
  6. Step 6: Final answer
    x = 73,504.29

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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.