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Finding the Fourth Proportional to 32,784.80, 49,184.44 and 19,469.90

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Solution

The fourth proportional to 32,784.80, 49,184.44 and 19,469.90 is: 29,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.80 : 49,184.44 = 19,469.90 : x
  2. Step 2: Convert to fraction form
    32,784.80/49,184.44 = 19,469.90/x
  3. Step 3: Cross multiply
    32,784.80x = 49,184.44 × 19,469.90
  4. Step 4: Simplify right side
    32,784.80x = 957,616,128.36
  5. Step 5: Solve for x
    x = 957,616,128.36/32,784.80
  6. Step 6: Final answer
    x = 29,209.15

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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.