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Finding the Fourth Proportional to 30,852.12, 42,575.96 and 16,705

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Solution

The fourth proportional to 30,852.12, 42,575.96 and 16,705 is: 23,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.12 : 42,575.96 = 16,705 : x
  2. Step 2: Convert to fraction form
    30,852.12/42,575.96 = 16,705/x
  3. Step 3: Cross multiply
    30,852.12x = 42,575.96 × 16,705
  4. Step 4: Simplify right side
    30,852.12x = 711,231,411.80
  5. Step 5: Solve for x
    x = 711,231,411.80/30,852.12
  6. Step 6: Final answer
    x = 23,052.92

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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.