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Finding the Fourth Proportional to 30,852.62, 42,576.64 and 16,705.48

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Solution

The fourth proportional to 30,852.62, 42,576.64 and 16,705.48 is: 23,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.62 : 42,576.64 = 16,705.48 : x
  2. Step 2: Convert to fraction form
    30,852.62/42,576.64 = 16,705.48/x
  3. Step 3: Cross multiply
    30,852.62x = 42,576.64 × 16,705.48
  4. Step 4: Simplify right side
    30,852.62x = 711,263,207.99
  5. Step 5: Solve for x
    x = 711,263,207.99/30,852.62
  6. Step 6: Final answer
    x = 23,053.58

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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.