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Finding the Fourth Proportional to 32,591.46, 48,885.57 and 17,829.21

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Solution

The fourth proportional to 32,591.46, 48,885.57 and 17,829.21 is: 26,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.46 : 48,885.57 = 17,829.21 : x
  2. Step 2: Convert to fraction form
    32,591.46/48,885.57 = 17,829.21/x
  3. Step 3: Cross multiply
    32,591.46x = 48,885.57 × 17,829.21
  4. Step 4: Simplify right side
    32,591.46x = 871,591,093.50
  5. Step 5: Solve for x
    x = 871,591,093.50/32,591.46
  6. Step 6: Final answer
    x = 26,742.93

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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.