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Finding the Fourth Proportional to 30,815.20, 46,209.30 and 14,169.70

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Solution

The fourth proportional to 30,815.20, 46,209.30 and 14,169.70 is: 21,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,815.20 : 46,209.30 = 14,169.70 : x
  2. Step 2: Convert to fraction form
    30,815.20/46,209.30 = 14,169.70/x
  3. Step 3: Cross multiply
    30,815.20x = 46,209.30 × 14,169.70
  4. Step 4: Simplify right side
    30,815.20x = 654,771,918.21
  5. Step 5: Solve for x
    x = 654,771,918.21/30,815.20
  6. Step 6: Final answer
    x = 21,248.34

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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.