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Finding the Fourth Proportional to 95,826.78, 132,232.38 and 53,384.40

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Solution

The fourth proportional to 95,826.78, 132,232.38 and 53,384.40 is: 73,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,826.78 : 132,232.38 = 53,384.40 : x
  2. Step 2: Convert to fraction form
    95,826.78/132,232.38 = 53,384.40/x
  3. Step 3: Cross multiply
    95,826.78x = 132,232.38 × 53,384.40
  4. Step 4: Simplify right side
    95,826.78x = 7,059,146,266.87
  5. Step 5: Solve for x
    x = 7,059,146,266.87/95,826.78
  6. Step 6: Final answer
    x = 73,665.69

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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.