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Finding the Fourth Proportional to 97,063.52, 145,630.31 and 33,892.95

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Solution

The fourth proportional to 97,063.52, 145,630.31 and 33,892.95 is: 50,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,063.52 : 145,630.31 = 33,892.95 : x
  2. Step 2: Convert to fraction form
    97,063.52/145,630.31 = 33,892.95/x
  3. Step 3: Cross multiply
    97,063.52x = 145,630.31 × 33,892.95
  4. Step 4: Simplify right side
    97,063.52x = 4,935,840,815.31
  5. Step 5: Solve for x
    x = 4,935,840,815.31/97,063.52
  6. Step 6: Final answer
    x = 50,851.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.