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Finding the Fourth Proportional to 96,182.28, 132,729 and 53,741.16

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Solution

The fourth proportional to 96,182.28, 132,729 and 53,741.16 is: 74,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,182.28 : 132,729 = 53,741.16 : x
  2. Step 2: Convert to fraction form
    96,182.28/132,729 = 53,741.16/x
  3. Step 3: Cross multiply
    96,182.28x = 132,729 × 53,741.16
  4. Step 4: Simplify right side
    96,182.28x = 7,133,010,425.64
  5. Step 5: Solve for x
    x = 7,133,010,425.64/96,182.28
  6. Step 6: Final answer
    x = 74,161.38

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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.