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Finding the Fourth Proportional to 30,551.53, 45,834.47 and 9,490.48

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Solution

The fourth proportional to 30,551.53, 45,834.47 and 9,490.48 is: 14,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,551.53 : 45,834.47 = 9,490.48 : x
  2. Step 2: Convert to fraction form
    30,551.53/45,834.47 = 9,490.48/x
  3. Step 3: Cross multiply
    30,551.53x = 45,834.47 × 9,490.48
  4. Step 4: Simplify right side
    30,551.53x = 434,991,120.85
  5. Step 5: Solve for x
    x = 434,991,120.85/30,551.53
  6. Step 6: Final answer
    x = 14,237.95

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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.