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Finding the Fourth Proportional to 96,203.88, 132,764.18 and 53,762.50

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Solution

The fourth proportional to 96,203.88, 132,764.18 and 53,762.50 is: 74,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,203.88 : 132,764.18 = 53,762.50 : x
  2. Step 2: Convert to fraction form
    96,203.88/132,764.18 = 53,762.50/x
  3. Step 3: Cross multiply
    96,203.88x = 132,764.18 × 53,762.50
  4. Step 4: Simplify right side
    96,203.88x = 7,137,734,227.25
  5. Step 5: Solve for x
    x = 7,137,734,227.25/96,203.88
  6. Step 6: Final answer
    x = 74,193.83

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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.