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Finding the Fourth Proportional to 96,000, 132,480 and 53,558.52

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Solution

The fourth proportional to 96,000, 132,480 and 53,558.52 is: 73,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000 : 132,480 = 53,558.52 : x
  2. Step 2: Convert to fraction form
    96,000/132,480 = 53,558.52/x
  3. Step 3: Cross multiply
    96,000x = 132,480 × 53,558.52
  4. Step 4: Simplify right side
    96,000x = 7,095,432,729.60
  5. Step 5: Solve for x
    x = 7,095,432,729.60/96,000
  6. Step 6: Final answer
    x = 73,910.76

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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.