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Finding the Fourth Proportional to 30,487.11, 45,689.10 and 18,645

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Solution

The fourth proportional to 30,487.11, 45,689.10 and 18,645 is: 27,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,487.11 : 45,689.10 = 18,645 : x
  2. Step 2: Convert to fraction form
    30,487.11/45,689.10 = 18,645/x
  3. Step 3: Cross multiply
    30,487.11x = 45,689.10 × 18,645
  4. Step 4: Simplify right side
    30,487.11x = 851,873,269.50
  5. Step 5: Solve for x
    x = 851,873,269.50/30,487.11
  6. Step 6: Final answer
    x = 27,942.08

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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.