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Finding the Fourth Proportional to 111,459.84, 167,205.44 and 32,580

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Solution

The fourth proportional to 111,459.84, 167,205.44 and 32,580 is: 48,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,459.84 : 167,205.44 = 32,580 : x
  2. Step 2: Convert to fraction form
    111,459.84/167,205.44 = 32,580/x
  3. Step 3: Cross multiply
    111,459.84x = 167,205.44 × 32,580
  4. Step 4: Simplify right side
    111,459.84x = 5,447,553,235.20
  5. Step 5: Solve for x
    x = 5,447,553,235.20/111,459.84
  6. Step 6: Final answer
    x = 48,874.58

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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.