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Finding the Fourth Proportional to 31,668.90, 47,512.86 and 9,483

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Solution

The fourth proportional to 31,668.90, 47,512.86 and 9,483 is: 14,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668.90 : 47,512.86 = 9,483 : x
  2. Step 2: Convert to fraction form
    31,668.90/47,512.86 = 9,483/x
  3. Step 3: Cross multiply
    31,668.90x = 47,512.86 × 9,483
  4. Step 4: Simplify right side
    31,668.90x = 450,564,451.38
  5. Step 5: Solve for x
    x = 450,564,451.38/31,668.90
  6. Step 6: Final answer
    x = 14,227.35

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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.