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Finding the Fourth Proportional to 32,922.30, 49,299.30 and 18,114.96

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Solution

The fourth proportional to 32,922.30, 49,299.30 and 18,114.96 is: 27,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.30 : 49,299.30 = 18,114.96 : x
  2. Step 2: Convert to fraction form
    32,922.30/49,299.30 = 18,114.96/x
  3. Step 3: Cross multiply
    32,922.30x = 49,299.30 × 18,114.96
  4. Step 4: Simplify right side
    32,922.30x = 893,054,847.53
  5. Step 5: Solve for x
    x = 893,054,847.53/32,922.30
  6. Step 6: Final answer
    x = 27,126.14

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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.