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Finding the Fourth Proportional to 50,320, 75,482.57 and 12,880.38

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Solution

The fourth proportional to 50,320, 75,482.57 and 12,880.38 is: 19,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,320 : 75,482.57 = 12,880.38 : x
  2. Step 2: Convert to fraction form
    50,320/75,482.57 = 12,880.38/x
  3. Step 3: Cross multiply
    50,320x = 75,482.57 × 12,880.38
  4. Step 4: Simplify right side
    50,320x = 972,244,184.98
  5. Step 5: Solve for x
    x = 972,244,184.98/50,320
  6. Step 6: Final answer
    x = 19,321.23

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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.