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Finding the Fourth Proportional to 32,784.86, 49,197 and 11,723.24

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Solution

The fourth proportional to 32,784.86, 49,197 and 11,723.24 is: 17,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.86 : 49,197 = 11,723.24 : x
  2. Step 2: Convert to fraction form
    32,784.86/49,197 = 11,723.24/x
  3. Step 3: Cross multiply
    32,784.86x = 49,197 × 11,723.24
  4. Step 4: Simplify right side
    32,784.86x = 576,748,238.28
  5. Step 5: Solve for x
    x = 576,748,238.28/32,784.86
  6. Step 6: Final answer
    x = 17,591.91

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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.