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Finding the Fourth Proportional to 32,917.34, 49,363.76 and 11,851.68

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Solution

The fourth proportional to 32,917.34, 49,363.76 and 11,851.68 is: 17,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,917.34 : 49,363.76 = 11,851.68 : x
  2. Step 2: Convert to fraction form
    32,917.34/49,363.76 = 11,851.68/x
  3. Step 3: Cross multiply
    32,917.34x = 49,363.76 × 11,851.68
  4. Step 4: Simplify right side
    32,917.34x = 585,043,487.12
  5. Step 5: Solve for x
    x = 585,043,487.12/32,917.34
  6. Step 6: Final answer
    x = 17,773.11

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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.