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Finding the Fourth Proportional to 30,474, 45,711.90 and 9,697.50

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Solution

The fourth proportional to 30,474, 45,711.90 and 9,697.50 is: 14,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474 : 45,711.90 = 9,697.50 : x
  2. Step 2: Convert to fraction form
    30,474/45,711.90 = 9,697.50/x
  3. Step 3: Cross multiply
    30,474x = 45,711.90 × 9,697.50
  4. Step 4: Simplify right side
    30,474x = 443,291,150.25
  5. Step 5: Solve for x
    x = 443,291,150.25/30,474
  6. Step 6: Final answer
    x = 14,546.54

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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.