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Finding the Fourth Proportional to 32,148.58, 48,190.96 and 16,306.50

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Solution

The fourth proportional to 32,148.58, 48,190.96 and 16,306.50 is: 24,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148.58 : 48,190.96 = 16,306.50 : x
  2. Step 2: Convert to fraction form
    32,148.58/48,190.96 = 16,306.50/x
  3. Step 3: Cross multiply
    32,148.58x = 48,190.96 × 16,306.50
  4. Step 4: Simplify right side
    32,148.58x = 785,825,889.24
  5. Step 5: Solve for x
    x = 785,825,889.24/32,148.58
  6. Step 6: Final answer
    x = 24,443.56

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