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Finding the Fourth Proportional to 91,968.50, 137,987.78 and 32,003.64

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Solution

The fourth proportional to 91,968.50, 137,987.78 and 32,003.64 is: 48,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,968.50 : 137,987.78 = 32,003.64 : x
  2. Step 2: Convert to fraction form
    91,968.50/137,987.78 = 32,003.64/x
  3. Step 3: Cross multiply
    91,968.50x = 137,987.78 × 32,003.64
  4. Step 4: Simplify right side
    91,968.50x = 4,416,111,544.25
  5. Step 5: Solve for x
    x = 4,416,111,544.25/91,968.50
  6. Step 6: Final answer
    x = 48,017.65

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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.