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Finding the Fourth Proportional to 50,252.80, 75,314.40 and 30,510.40

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Solution

The fourth proportional to 50,252.80, 75,314.40 and 30,510.40 is: 45,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,252.80 : 75,314.40 = 30,510.40 : x
  2. Step 2: Convert to fraction form
    50,252.80/75,314.40 = 30,510.40/x
  3. Step 3: Cross multiply
    50,252.80x = 75,314.40 × 30,510.40
  4. Step 4: Simplify right side
    50,252.80x = 2,297,872,469.76
  5. Step 5: Solve for x
    x = 2,297,872,469.76/50,252.80
  6. Step 6: Final answer
    x = 45,726.26

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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.