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Finding the Fourth Proportional to 30,519.18, 45,785.91 and 9,458.12

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Solution

The fourth proportional to 30,519.18, 45,785.91 and 9,458.12 is: 14,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,519.18 : 45,785.91 = 9,458.12 : x
  2. Step 2: Convert to fraction form
    30,519.18/45,785.91 = 9,458.12/x
  3. Step 3: Cross multiply
    30,519.18x = 45,785.91 × 9,458.12
  4. Step 4: Simplify right side
    30,519.18x = 433,048,470.27
  5. Step 5: Solve for x
    x = 433,048,470.27/30,519.18
  6. Step 6: Final answer
    x = 14,189.39

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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.