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Finding the Fourth Proportional to 30,164.70, 45,251.10 and 10,449.30

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Solution

The fourth proportional to 30,164.70, 45,251.10 and 10,449.30 is: 15,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.70 : 45,251.10 = 10,449.30 : x
  2. Step 2: Convert to fraction form
    30,164.70/45,251.10 = 10,449.30/x
  3. Step 3: Cross multiply
    30,164.70x = 45,251.10 × 10,449.30
  4. Step 4: Simplify right side
    30,164.70x = 472,842,319.23
  5. Step 5: Solve for x
    x = 472,842,319.23/30,164.70
  6. Step 6: Final answer
    x = 15,675.35

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