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Finding the Fourth Proportional to 78,763.25, 118,199.60 and 32,016.17

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Solution

The fourth proportional to 78,763.25, 118,199.60 and 32,016.17 is: 48,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,763.25 : 118,199.60 = 32,016.17 : x
  2. Step 2: Convert to fraction form
    78,763.25/118,199.60 = 32,016.17/x
  3. Step 3: Cross multiply
    78,763.25x = 118,199.60 × 32,016.17
  4. Step 4: Simplify right side
    78,763.25x = 3,784,298,487.53
  5. Step 5: Solve for x
    x = 3,784,298,487.53/78,763.25
  6. Step 6: Final answer
    x = 48,046.50

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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.