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Finding the Fourth Proportional to 47,446.74, 65,471.49 and 26,222.58

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Solution

The fourth proportional to 47,446.74, 65,471.49 and 26,222.58 is: 36,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,446.74 : 65,471.49 = 26,222.58 : x
  2. Step 2: Convert to fraction form
    47,446.74/65,471.49 = 26,222.58/x
  3. Step 3: Cross multiply
    47,446.74x = 65,471.49 × 26,222.58
  4. Step 4: Simplify right side
    47,446.74x = 1,716,831,384.24
  5. Step 5: Solve for x
    x = 1,716,831,384.24/47,446.74
  6. Step 6: Final answer
    x = 36,184.39

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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.