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Finding the Fourth Proportional to 47,446, 65,472.94 and 26,224

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Solution

The fourth proportional to 47,446, 65,472.94 and 26,224 is: 36,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,446 : 65,472.94 = 26,224 : x
  2. Step 2: Convert to fraction form
    47,446/65,472.94 = 26,224/x
  3. Step 3: Cross multiply
    47,446x = 65,472.94 × 26,224
  4. Step 4: Simplify right side
    47,446x = 1,716,962,378.56
  5. Step 5: Solve for x
    x = 1,716,962,378.56/47,446
  6. Step 6: Final answer
    x = 36,187.72

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