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Finding the Fourth Proportional to 110,905.32, 166,333.52 and 32,002.40

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Solution

The fourth proportional to 110,905.32, 166,333.52 and 32,002.40 is: 47,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,905.32 : 166,333.52 = 32,002.40 : x
  2. Step 2: Convert to fraction form
    110,905.32/166,333.52 = 32,002.40/x
  3. Step 3: Cross multiply
    110,905.32x = 166,333.52 × 32,002.40
  4. Step 4: Simplify right side
    110,905.32x = 5,323,071,840.45
  5. Step 5: Solve for x
    x = 5,323,071,840.45/110,905.32
  6. Step 6: Final answer
    x = 47,996.54

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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.