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Finding the Fourth Proportional to 96,202.88, 132,762.80 and 53,761.50

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Solution

The fourth proportional to 96,202.88, 132,762.80 and 53,761.50 is: 74,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,202.88 : 132,762.80 = 53,761.50 : x
  2. Step 2: Convert to fraction form
    96,202.88/132,762.80 = 53,761.50/x
  3. Step 3: Cross multiply
    96,202.88x = 132,762.80 × 53,761.50
  4. Step 4: Simplify right side
    96,202.88x = 7,137,527,272.20
  5. Step 5: Solve for x
    x = 7,137,527,272.20/96,202.88
  6. Step 6: Final answer
    x = 74,192.45

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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.