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Finding the Fourth Proportional to 32,695.50, 49,042.96 and 21,651.60

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Solution

The fourth proportional to 32,695.50, 49,042.96 and 21,651.60 is: 32,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,695.50 : 49,042.96 = 21,651.60 : x
  2. Step 2: Convert to fraction form
    32,695.50/49,042.96 = 21,651.60/x
  3. Step 3: Cross multiply
    32,695.50x = 49,042.96 × 21,651.60
  4. Step 4: Simplify right side
    32,695.50x = 1,061,858,552.74
  5. Step 5: Solve for x
    x = 1,061,858,552.74/32,695.50
  6. Step 6: Final answer
    x = 32,477.21

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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.