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Finding the Fourth Proportional to 47,523, 65,581.74 and 27,651

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Solution

The fourth proportional to 47,523, 65,581.74 and 27,651 is: 38,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523 : 65,581.74 = 27,651 : x
  2. Step 2: Convert to fraction form
    47,523/65,581.74 = 27,651/x
  3. Step 3: Cross multiply
    47,523x = 65,581.74 × 27,651
  4. Step 4: Simplify right side
    47,523x = 1,813,400,692.74
  5. Step 5: Solve for x
    x = 1,813,400,692.74/47,523
  6. Step 6: Final answer
    x = 38,158.38

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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.