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Finding the Fourth Proportional to 32,551.80, 48,849.30 and 18,511.80

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Solution

The fourth proportional to 32,551.80, 48,849.30 and 18,511.80 is: 27,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.80 : 48,849.30 = 18,511.80 : x
  2. Step 2: Convert to fraction form
    32,551.80/48,849.30 = 18,511.80/x
  3. Step 3: Cross multiply
    32,551.80x = 48,849.30 × 18,511.80
  4. Step 4: Simplify right side
    32,551.80x = 904,288,471.74
  5. Step 5: Solve for x
    x = 904,288,471.74/32,551.80
  6. Step 6: Final answer
    x = 27,779.98

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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.