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Finding the Fourth Proportional to 97,327.56, 145,932.32 and 47,357.30

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Solution

The fourth proportional to 97,327.56, 145,932.32 and 47,357.30 is: 71,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,327.56 : 145,932.32 = 47,357.30 : x
  2. Step 2: Convert to fraction form
    97,327.56/145,932.32 = 47,357.30/x
  3. Step 3: Cross multiply
    97,327.56x = 145,932.32 × 47,357.30
  4. Step 4: Simplify right side
    97,327.56x = 6,910,960,657.94
  5. Step 5: Solve for x
    x = 6,910,960,657.94/97,327.56
  6. Step 6: Final answer
    x = 71,007.23

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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.