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Finding the Fourth Proportional to 47,665.38, 65,777.22 and 26,444.46

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Solution

The fourth proportional to 47,665.38, 65,777.22 and 26,444.46 is: 36,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,665.38 : 65,777.22 = 26,444.46 : x
  2. Step 2: Convert to fraction form
    47,665.38/65,777.22 = 26,444.46/x
  3. Step 3: Cross multiply
    47,665.38x = 65,777.22 × 26,444.46
  4. Step 4: Simplify right side
    47,665.38x = 1,739,443,063.20
  5. Step 5: Solve for x
    x = 1,739,443,063.20/47,665.38
  6. Step 6: Final answer
    x = 36,492.80

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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.