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Finding the Fourth Proportional to 32,083.74, 48,113.28 and 11,019.84

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Solution

The fourth proportional to 32,083.74, 48,113.28 and 11,019.84 is: 16,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.74 : 48,113.28 = 11,019.84 : x
  2. Step 2: Convert to fraction form
    32,083.74/48,113.28 = 11,019.84/x
  3. Step 3: Cross multiply
    32,083.74x = 48,113.28 × 11,019.84
  4. Step 4: Simplify right side
    32,083.74x = 530,200,647.48
  5. Step 5: Solve for x
    x = 530,200,647.48/32,083.74
  6. Step 6: Final answer
    x = 16,525.53

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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.