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Finding the Fourth Proportional to 32,786.86, 49,200 and 11,725.24

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Solution

The fourth proportional to 32,786.86, 49,200 and 11,725.24 is: 17,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.86 : 49,200 = 11,725.24 : x
  2. Step 2: Convert to fraction form
    32,786.86/49,200 = 11,725.24/x
  3. Step 3: Cross multiply
    32,786.86x = 49,200 × 11,725.24
  4. Step 4: Simplify right side
    32,786.86x = 576,881,808
  5. Step 5: Solve for x
    x = 576,881,808/32,786.86
  6. Step 6: Final answer
    x = 17,594.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.