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Finding the Fourth Proportional to 47,381.40, 65,383.98 and 27,224

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Solution

The fourth proportional to 47,381.40, 65,383.98 and 27,224 is: 37,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381.40 : 65,383.98 = 27,224 : x
  2. Step 2: Convert to fraction form
    47,381.40/65,383.98 = 27,224/x
  3. Step 3: Cross multiply
    47,381.40x = 65,383.98 × 27,224
  4. Step 4: Simplify right side
    47,381.40x = 1,780,013,471.52
  5. Step 5: Solve for x
    x = 1,780,013,471.52/47,381.40
  6. Step 6: Final answer
    x = 37,567.77

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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.