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Finding the Fourth Proportional to 96,094.62, 132,610.68 and 53,653.14

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Solution

The fourth proportional to 96,094.62, 132,610.68 and 53,653.14 is: 74,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,094.62 : 132,610.68 = 53,653.14 : x
  2. Step 2: Convert to fraction form
    96,094.62/132,610.68 = 53,653.14/x
  3. Step 3: Cross multiply
    96,094.62x = 132,610.68 × 53,653.14
  4. Step 4: Simplify right side
    96,094.62x = 7,114,979,379.54
  5. Step 5: Solve for x
    x = 7,114,979,379.54/96,094.62
  6. Step 6: Final answer
    x = 74,041.39

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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.