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Finding the Fourth Proportional to 78,782.56, 118,139.20 and 29,500

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Solution

The fourth proportional to 78,782.56, 118,139.20 and 29,500 is: 44,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,782.56 : 118,139.20 = 29,500 : x
  2. Step 2: Convert to fraction form
    78,782.56/118,139.20 = 29,500/x
  3. Step 3: Cross multiply
    78,782.56x = 118,139.20 × 29,500
  4. Step 4: Simplify right side
    78,782.56x = 3,485,106,400
  5. Step 5: Solve for x
    x = 3,485,106,400/78,782.56
  6. Step 6: Final answer
    x = 44,237.03

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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.