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Finding the Fourth Proportional to 52,113.24, 78,180.90 and 20,093.13

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Solution

The fourth proportional to 52,113.24, 78,180.90 and 20,093.13 is: 30,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113.24 : 78,180.90 = 20,093.13 : x
  2. Step 2: Convert to fraction form
    52,113.24/78,180.90 = 20,093.13/x
  3. Step 3: Cross multiply
    52,113.24x = 78,180.90 × 20,093.13
  4. Step 4: Simplify right side
    52,113.24x = 1,570,898,987.22
  5. Step 5: Solve for x
    x = 1,570,898,987.22/52,113.24
  6. Step 6: Final answer
    x = 30,143.95

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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.