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Finding the Fourth Proportional to 82,491.53, 113,837.42 and 46,193.31

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Solution

The fourth proportional to 82,491.53, 113,837.42 and 46,193.31 is: 63,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,491.53 : 113,837.42 = 46,193.31 : x
  2. Step 2: Convert to fraction form
    82,491.53/113,837.42 = 46,193.31/x
  3. Step 3: Cross multiply
    82,491.53x = 113,837.42 × 46,193.31
  4. Step 4: Simplify right side
    82,491.53x = 5,258,527,000.69
  5. Step 5: Solve for x
    x = 5,258,527,000.69/82,491.53
  6. Step 6: Final answer
    x = 63,746.27

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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.