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Finding the Fourth Proportional to 30,490.18, 45,752.76 and 16,450.18

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Solution

The fourth proportional to 30,490.18, 45,752.76 and 16,450.18 is: 24,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,490.18 : 45,752.76 = 16,450.18 : x
  2. Step 2: Convert to fraction form
    30,490.18/45,752.76 = 16,450.18/x
  3. Step 3: Cross multiply
    30,490.18x = 45,752.76 × 16,450.18
  4. Step 4: Simplify right side
    30,490.18x = 752,641,137.50
  5. Step 5: Solve for x
    x = 752,641,137.50/30,490.18
  6. Step 6: Final answer
    x = 24,684.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.