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Finding the Fourth Proportional to 96,296.34, 132,889.41 and 53,854.88

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Solution

The fourth proportional to 96,296.34, 132,889.41 and 53,854.88 is: 74,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,296.34 : 132,889.41 = 53,854.88 : x
  2. Step 2: Convert to fraction form
    96,296.34/132,889.41 = 53,854.88/x
  3. Step 3: Cross multiply
    96,296.34x = 132,889.41 × 53,854.88
  4. Step 4: Simplify right side
    96,296.34x = 7,156,742,564.37
  5. Step 5: Solve for x
    x = 7,156,742,564.37/96,296.34
  6. Step 6: Final answer
    x = 74,319.98

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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.