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Finding the Fourth Proportional to 30,522.60, 45,768.06 and 9,743.40

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Solution

The fourth proportional to 30,522.60, 45,768.06 and 9,743.40 is: 14,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.60 : 45,768.06 = 9,743.40 : x
  2. Step 2: Convert to fraction form
    30,522.60/45,768.06 = 9,743.40/x
  3. Step 3: Cross multiply
    30,522.60x = 45,768.06 × 9,743.40
  4. Step 4: Simplify right side
    30,522.60x = 445,936,515.80
  5. Step 5: Solve for x
    x = 445,936,515.80/30,522.60
  6. Step 6: Final answer
    x = 14,610.04

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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.