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Finding the Fourth Proportional to 47,668.46, 65,782.50 and 26,447.76

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Solution

The fourth proportional to 47,668.46, 65,782.50 and 26,447.76 is: 36,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668.46 : 65,782.50 = 26,447.76 : x
  2. Step 2: Convert to fraction form
    47,668.46/65,782.50 = 26,447.76/x
  3. Step 3: Cross multiply
    47,668.46x = 65,782.50 × 26,447.76
  4. Step 4: Simplify right side
    47,668.46x = 1,739,799,772.20
  5. Step 5: Solve for x
    x = 1,739,799,772.20/47,668.46
  6. Step 6: Final answer
    x = 36,497.92

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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.