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Finding the Fourth Proportional to 96,159.76, 132,694.64 and 53,138.28

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Solution

The fourth proportional to 96,159.76, 132,694.64 and 53,138.28 is: 73,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,159.76 : 132,694.64 = 53,138.28 : x
  2. Step 2: Convert to fraction form
    96,159.76/132,694.64 = 53,138.28/x
  3. Step 3: Cross multiply
    96,159.76x = 132,694.64 × 53,138.28
  4. Step 4: Simplify right side
    96,159.76x = 7,051,164,934.82
  5. Step 5: Solve for x
    x = 7,051,164,934.82/96,159.76
  6. Step 6: Final answer
    x = 73,327.61

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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.