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Finding the Fourth Proportional to 78,811.30, 118,114.35 and 32,009.50

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Solution

The fourth proportional to 78,811.30, 118,114.35 and 32,009.50 is: 47,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,811.30 : 118,114.35 = 32,009.50 : x
  2. Step 2: Convert to fraction form
    78,811.30/118,114.35 = 32,009.50/x
  3. Step 3: Cross multiply
    78,811.30x = 118,114.35 × 32,009.50
  4. Step 4: Simplify right side
    78,811.30x = 3,780,781,286.33
  5. Step 5: Solve for x
    x = 3,780,781,286.33/78,811.30
  6. Step 6: Final answer
    x = 47,972.58

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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.