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Finding the Fourth Proportional to 96,253.50, 132,826.50 and 53,811.93

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Solution

The fourth proportional to 96,253.50, 132,826.50 and 53,811.93 is: 74,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,253.50 : 132,826.50 = 53,811.93 : x
  2. Step 2: Convert to fraction form
    96,253.50/132,826.50 = 53,811.93/x
  3. Step 3: Cross multiply
    96,253.50x = 132,826.50 × 53,811.93
  4. Step 4: Simplify right side
    96,253.50x = 7,147,650,320.15
  5. Step 5: Solve for x
    x = 7,147,650,320.15/96,253.50
  6. Step 6: Final answer
    x = 74,258.60

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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.