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Finding the Fourth Proportional to 32,597.30, 48,932.40 and 25,234.40

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Solution

The fourth proportional to 32,597.30, 48,932.40 and 25,234.40 is: 37,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.30 : 48,932.40 = 25,234.40 : x
  2. Step 2: Convert to fraction form
    32,597.30/48,932.40 = 25,234.40/x
  3. Step 3: Cross multiply
    32,597.30x = 48,932.40 × 25,234.40
  4. Step 4: Simplify right side
    32,597.30x = 1,234,779,754.56
  5. Step 5: Solve for x
    x = 1,234,779,754.56/32,597.30
  6. Step 6: Final answer
    x = 37,879.82

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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.