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Finding the Fourth Proportional to 46,209.92, 63,786.03 and 27,347

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Solution

The fourth proportional to 46,209.92, 63,786.03 and 27,347 is: 37,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,209.92 : 63,786.03 = 27,347 : x
  2. Step 2: Convert to fraction form
    46,209.92/63,786.03 = 27,347/x
  3. Step 3: Cross multiply
    46,209.92x = 63,786.03 × 27,347
  4. Step 4: Simplify right side
    46,209.92x = 1,744,356,562.41
  5. Step 5: Solve for x
    x = 1,744,356,562.41/46,209.92
  6. Step 6: Final answer
    x = 37,748.53

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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.