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Finding the Fourth Proportional to 47,616, 65,709.72 and 27,471.12

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Solution

The fourth proportional to 47,616, 65,709.72 and 27,471.12 is: 37,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,616 : 65,709.72 = 27,471.12 : x
  2. Step 2: Convert to fraction form
    47,616/65,709.72 = 27,471.12/x
  3. Step 3: Cross multiply
    47,616x = 65,709.72 × 27,471.12
  4. Step 4: Simplify right side
    47,616x = 1,805,119,603.29
  5. Step 5: Solve for x
    x = 1,805,119,603.29/47,616
  6. Step 6: Final answer
    x = 37,909.94

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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.