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Finding the Fourth Proportional to 47,668.69, 65,783.91 and 26,447.50

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Solution

The fourth proportional to 47,668.69, 65,783.91 and 26,447.50 is: 36,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668.69 : 65,783.91 = 26,447.50 : x
  2. Step 2: Convert to fraction form
    47,668.69/65,783.91 = 26,447.50/x
  3. Step 3: Cross multiply
    47,668.69x = 65,783.91 × 26,447.50
  4. Step 4: Simplify right side
    47,668.69x = 1,739,819,959.73
  5. Step 5: Solve for x
    x = 1,739,819,959.73/47,668.69
  6. Step 6: Final answer
    x = 36,498.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.