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Finding the Fourth Proportional to 32,489.95, 48,741.00 and 10,297.37

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Solution

The fourth proportional to 32,489.95, 48,741.00 and 10,297.37 is: 15,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.95 : 48,741.00 = 10,297.37 : x
  2. Step 2: Convert to fraction form
    32,489.95/48,741.00 = 10,297.37/x
  3. Step 3: Cross multiply
    32,489.95x = 48,741.00 × 10,297.37
  4. Step 4: Simplify right side
    32,489.95x = 501,904,059.68
  5. Step 5: Solve for x
    x = 501,904,059.68/32,489.95
  6. Step 6: Final answer
    x = 15,447.98

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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.