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Finding the Fourth Proportional to 30,852.15, 42,575.99 and 16,705

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Solution

The fourth proportional to 30,852.15, 42,575.99 and 16,705 is: 23,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.15 : 42,575.99 = 16,705 : x
  2. Step 2: Convert to fraction form
    30,852.15/42,575.99 = 16,705/x
  3. Step 3: Cross multiply
    30,852.15x = 42,575.99 × 16,705
  4. Step 4: Simplify right side
    30,852.15x = 711,231,912.95
  5. Step 5: Solve for x
    x = 711,231,912.95/30,852.15
  6. Step 6: Final answer
    x = 23,052.91

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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.