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Finding the Fourth Proportional to 31,404.60, 47,106.93 and 11,680.59

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Solution

The fourth proportional to 31,404.60, 47,106.93 and 11,680.59 is: 17,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,404.60 : 47,106.93 = 11,680.59 : x
  2. Step 2: Convert to fraction form
    31,404.60/47,106.93 = 11,680.59/x
  3. Step 3: Cross multiply
    31,404.60x = 47,106.93 × 11,680.59
  4. Step 4: Simplify right side
    31,404.60x = 550,236,735.49
  5. Step 5: Solve for x
    x = 550,236,735.49/31,404.60
  6. Step 6: Final answer
    x = 17,520.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.