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Finding the Fourth Proportional to 50,510.80, 75,774.72 and 15,442.24

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Solution

The fourth proportional to 50,510.80, 75,774.72 and 15,442.24 is: 23,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,510.80 : 75,774.72 = 15,442.24 : x
  2. Step 2: Convert to fraction form
    50,510.80/75,774.72 = 15,442.24/x
  3. Step 3: Cross multiply
    50,510.80x = 75,774.72 × 15,442.24
  4. Step 4: Simplify right side
    50,510.80x = 1,170,131,412.17
  5. Step 5: Solve for x
    x = 1,170,131,412.17/50,510.80
  6. Step 6: Final answer
    x = 23,165.96

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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.