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Finding the Fourth Proportional to 30,607.80, 45,911.70 and 18,166.20

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Solution

The fourth proportional to 30,607.80, 45,911.70 and 18,166.20 is: 27,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,607.80 : 45,911.70 = 18,166.20 : x
  2. Step 2: Convert to fraction form
    30,607.80/45,911.70 = 18,166.20/x
  3. Step 3: Cross multiply
    30,607.80x = 45,911.70 × 18,166.20
  4. Step 4: Simplify right side
    30,607.80x = 834,041,124.54
  5. Step 5: Solve for x
    x = 834,041,124.54/30,607.80
  6. Step 6: Final answer
    x = 27,249.30

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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.