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Finding the Fourth Proportional to 32,790.50, 49,172.79 and 16,138.34

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Solution

The fourth proportional to 32,790.50, 49,172.79 and 16,138.34 is: 24,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,790.50 : 49,172.79 = 16,138.34 : x
  2. Step 2: Convert to fraction form
    32,790.50/49,172.79 = 16,138.34/x
  3. Step 3: Cross multiply
    32,790.50x = 49,172.79 × 16,138.34
  4. Step 4: Simplify right side
    32,790.50x = 793,567,203.77
  5. Step 5: Solve for x
    x = 793,567,203.77/32,790.50
  6. Step 6: Final answer
    x = 24,201.13

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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.