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Finding the Fourth Proportional to 32,783.86, 49,195.50 and 11,722.24

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Solution

The fourth proportional to 32,783.86, 49,195.50 and 11,722.24 is: 17,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.86 : 49,195.50 = 11,722.24 : x
  2. Step 2: Convert to fraction form
    32,783.86/49,195.50 = 11,722.24/x
  3. Step 3: Cross multiply
    32,783.86x = 49,195.50 × 11,722.24
  4. Step 4: Simplify right side
    32,783.86x = 576,681,457.92
  5. Step 5: Solve for x
    x = 576,681,457.92/32,783.86
  6. Step 6: Final answer
    x = 17,590.41

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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.