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Finding the Fourth Proportional to 30,758, 46,140.24 and 14,115.20

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Solution

The fourth proportional to 30,758, 46,140.24 and 14,115.20 is: 21,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758 : 46,140.24 = 14,115.20 : x
  2. Step 2: Convert to fraction form
    30,758/46,140.24 = 14,115.20/x
  3. Step 3: Cross multiply
    30,758x = 46,140.24 × 14,115.20
  4. Step 4: Simplify right side
    30,758x = 651,278,715.65
  5. Step 5: Solve for x
    x = 651,278,715.65/30,758
  6. Step 6: Final answer
    x = 21,174.29

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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.