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Finding the Fourth Proportional to 46,201.68, 63,774.70 and 27,338.76

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Solution

The fourth proportional to 46,201.68, 63,774.70 and 27,338.76 is: 37,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,201.68 : 63,774.70 = 27,338.76 : x
  2. Step 2: Convert to fraction form
    46,201.68/63,774.70 = 27,338.76/x
  3. Step 3: Cross multiply
    46,201.68x = 63,774.70 × 27,338.76
  4. Step 4: Simplify right side
    46,201.68x = 1,743,521,217.37
  5. Step 5: Solve for x
    x = 1,743,521,217.37/46,201.68
  6. Step 6: Final answer
    x = 37,737.18

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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.