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Finding the Fourth Proportional to 47,896.94, 66,098.48 and 27,755.28

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Solution

The fourth proportional to 47,896.94, 66,098.48 and 27,755.28 is: 38,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896.94 : 66,098.48 = 27,755.28 : x
  2. Step 2: Convert to fraction form
    47,896.94/66,098.48 = 27,755.28/x
  3. Step 3: Cross multiply
    47,896.94x = 66,098.48 × 27,755.28
  4. Step 4: Simplify right side
    47,896.94x = 1,834,581,681.20
  5. Step 5: Solve for x
    x = 1,834,581,681.20/47,896.94
  6. Step 6: Final answer
    x = 38,302.69

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1.5x scale

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.