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Finding the Fourth Proportional to 32,486.75, 48,737.01 and 10,297.20

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Solution

The fourth proportional to 32,486.75, 48,737.01 and 10,297.20 is: 15,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.75 : 48,737.01 = 10,297.20 : x
  2. Step 2: Convert to fraction form
    32,486.75/48,737.01 = 10,297.20/x
  3. Step 3: Cross multiply
    32,486.75x = 48,737.01 × 10,297.20
  4. Step 4: Simplify right side
    32,486.75x = 501,854,739.37
  5. Step 5: Solve for x
    x = 501,854,739.37/32,486.75
  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.