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Finding the Fourth Proportional to 92,022.53, 138,033.81 and 32,850.50

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Solution

The fourth proportional to 92,022.53, 138,033.81 and 32,850.50 is: 49,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,022.53 : 138,033.81 = 32,850.50 : x
  2. Step 2: Convert to fraction form
    92,022.53/138,033.81 = 32,850.50/x
  3. Step 3: Cross multiply
    92,022.53x = 138,033.81 × 32,850.50
  4. Step 4: Simplify right side
    92,022.53x = 4,534,478,985.24
  5. Step 5: Solve for x
    x = 4,534,478,985.24/92,022.53
  6. Step 6: Final answer
    x = 49,275.75

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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.