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Finding the Fourth Proportional to 50,340, 75,510.24 and 13,404

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Solution

The fourth proportional to 50,340, 75,510.24 and 13,404 is: 20,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340 : 75,510.24 = 13,404 : x
  2. Step 2: Convert to fraction form
    50,340/75,510.24 = 13,404/x
  3. Step 3: Cross multiply
    50,340x = 75,510.24 × 13,404
  4. Step 4: Simplify right side
    50,340x = 1,012,139,256.96
  5. Step 5: Solve for x
    x = 1,012,139,256.96/50,340
  6. Step 6: Final answer
    x = 20,106.06

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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.