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Finding the Fourth Proportional to 96,163.26, 132,700.95 and 53,713.50

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Solution

The fourth proportional to 96,163.26, 132,700.95 and 53,713.50 is: 74,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,163.26 : 132,700.95 = 53,713.50 : x
  2. Step 2: Convert to fraction form
    96,163.26/132,700.95 = 53,713.50/x
  3. Step 3: Cross multiply
    96,163.26x = 132,700.95 × 53,713.50
  4. Step 4: Simplify right side
    96,163.26x = 7,127,832,477.83
  5. Step 5: Solve for x
    x = 7,127,832,477.83/96,163.26
  6. Step 6: Final answer
    x = 74,122.20

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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.