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Finding the Fourth Proportional to 30,234.70, 45,352.05 and 9,458.20

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Solution

The fourth proportional to 30,234.70, 45,352.05 and 9,458.20 is: 14,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.70 : 45,352.05 = 9,458.20 : x
  2. Step 2: Convert to fraction form
    30,234.70/45,352.05 = 9,458.20/x
  3. Step 3: Cross multiply
    30,234.70x = 45,352.05 × 9,458.20
  4. Step 4: Simplify right side
    30,234.70x = 428,948,759.31
  5. Step 5: Solve for x
    x = 428,948,759.31/30,234.70
  6. Step 6: Final answer
    x = 14,187.30

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1.5x scale

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.