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Finding the Fourth Proportional to 30,852.20, 42,575.78 and 16,705

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Solution

The fourth proportional to 30,852.20, 42,575.78 and 16,705 is: 23,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.20 : 42,575.78 = 16,705 : x
  2. Step 2: Convert to fraction form
    30,852.20/42,575.78 = 16,705/x
  3. Step 3: Cross multiply
    30,852.20x = 42,575.78 × 16,705
  4. Step 4: Simplify right side
    30,852.20x = 711,228,404.90
  5. Step 5: Solve for x
    x = 711,228,404.90/30,852.20
  6. Step 6: Final answer
    x = 23,052.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.