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Finding the Fourth Proportional to 32,469.85, 48,708.02 and 11,688.49

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Solution

The fourth proportional to 32,469.85, 48,708.02 and 11,688.49 is: 17,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.85 : 48,708.02 = 11,688.49 : x
  2. Step 2: Convert to fraction form
    32,469.85/48,708.02 = 11,688.49/x
  3. Step 3: Cross multiply
    32,469.85x = 48,708.02 × 11,688.49
  4. Step 4: Simplify right side
    32,469.85x = 569,323,204.69
  5. Step 5: Solve for x
    x = 569,323,204.69/32,469.85
  6. Step 6: Final answer
    x = 17,533.90

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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.