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Finding the Fourth Proportional to 31,514.69, 47,281.20 and 9,328.64

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Solution

The fourth proportional to 31,514.69, 47,281.20 and 9,328.64 is: 13,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.69 : 47,281.20 = 9,328.64 : x
  2. Step 2: Convert to fraction form
    31,514.69/47,281.20 = 9,328.64/x
  3. Step 3: Cross multiply
    31,514.69x = 47,281.20 × 9,328.64
  4. Step 4: Simplify right side
    31,514.69x = 441,069,293.57
  5. Step 5: Solve for x
    x = 441,069,293.57/31,514.69
  6. Step 6: Final answer
    x = 13,995.67

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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.