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Finding the Fourth Proportional to 84,098.34, 116,049.78 and 46,371.78

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Solution

The fourth proportional to 84,098.34, 116,049.78 and 46,371.78 is: 63,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,098.34 : 116,049.78 = 46,371.78 : x
  2. Step 2: Convert to fraction form
    84,098.34/116,049.78 = 46,371.78/x
  3. Step 3: Cross multiply
    84,098.34x = 116,049.78 × 46,371.78
  4. Step 4: Simplify right side
    84,098.34x = 5,381,434,867.21
  5. Step 5: Solve for x
    x = 5,381,434,867.21/84,098.34
  6. Step 6: Final answer
    x = 63,989.79

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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.