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Finding the Fourth Proportional to 96,193.34, 132,746.48 and 53,751.87

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Solution

The fourth proportional to 96,193.34, 132,746.48 and 53,751.87 is: 74,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,193.34 : 132,746.48 = 53,751.87 : x
  2. Step 2: Convert to fraction form
    96,193.34/132,746.48 = 53,751.87/x
  3. Step 3: Cross multiply
    96,193.34x = 132,746.48 × 53,751.87
  4. Step 4: Simplify right side
    96,193.34x = 7,135,371,535.92
  5. Step 5: Solve for x
    x = 7,135,371,535.92/96,193.34
  6. Step 6: Final answer
    x = 74,177.40

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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.