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Finding the Fourth Proportional to 32,652.85, 48,997.73 and 13,931.12

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Solution

The fourth proportional to 32,652.85, 48,997.73 and 13,931.12 is: 20,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.85 : 48,997.73 = 13,931.12 : x
  2. Step 2: Convert to fraction form
    32,652.85/48,997.73 = 13,931.12/x
  3. Step 3: Cross multiply
    32,652.85x = 48,997.73 × 13,931.12
  4. Step 4: Simplify right side
    32,652.85x = 682,593,256.36
  5. Step 5: Solve for x
    x = 682,593,256.36/32,652.85
  6. Step 6: Final answer
    x = 20,904.55

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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.