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Finding the Fourth Proportional to 120,606.76, 180,918.80 and 31,859.40

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Solution

The fourth proportional to 120,606.76, 180,918.80 and 31,859.40 is: 47,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,606.76 : 180,918.80 = 31,859.40 : x
  2. Step 2: Convert to fraction form
    120,606.76/180,918.80 = 31,859.40/x
  3. Step 3: Cross multiply
    120,606.76x = 180,918.80 × 31,859.40
  4. Step 4: Simplify right side
    120,606.76x = 5,763,964,416.72
  5. Step 5: Solve for x
    x = 5,763,964,416.72/120,606.76
  6. Step 6: Final answer
    x = 47,791.39

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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.