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Finding the Fourth Proportional to 78,729.30, 118,093.95 and 32,015.70

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Solution

The fourth proportional to 78,729.30, 118,093.95 and 32,015.70 is: 48,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,729.30 : 118,093.95 = 32,015.70 : x
  2. Step 2: Convert to fraction form
    78,729.30/118,093.95 = 32,015.70/x
  3. Step 3: Cross multiply
    78,729.30x = 118,093.95 × 32,015.70
  4. Step 4: Simplify right side
    78,729.30x = 3,780,860,475.02
  5. Step 5: Solve for x
    x = 3,780,860,475.02/78,729.30
  6. Step 6: Final answer
    x = 48,023.55

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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.