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Finding the Fourth Proportional to 120,594.64, 180,900.60 and 31,847.26

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Solution

The fourth proportional to 120,594.64, 180,900.60 and 31,847.26 is: 47,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,594.64 : 180,900.60 = 31,847.26 : x
  2. Step 2: Convert to fraction form
    120,594.64/180,900.60 = 31,847.26/x
  3. Step 3: Cross multiply
    120,594.64x = 180,900.60 × 31,847.26
  4. Step 4: Simplify right side
    120,594.64x = 5,761,188,442.36
  5. Step 5: Solve for x
    x = 5,761,188,442.36/120,594.64
  6. Step 6: Final answer
    x = 47,773.17

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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.