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Finding the Fourth Proportional to 82,243.96, 113,495.68 and 46,435.48

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Solution

The fourth proportional to 82,243.96, 113,495.68 and 46,435.48 is: 64,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,243.96 : 113,495.68 = 46,435.48 : x
  2. Step 2: Convert to fraction form
    82,243.96/113,495.68 = 46,435.48/x
  3. Step 3: Cross multiply
    82,243.96x = 113,495.68 × 46,435.48
  4. Step 4: Simplify right side
    82,243.96x = 5,270,226,153.03
  5. Step 5: Solve for x
    x = 5,270,226,153.03/82,243.96
  6. Step 6: Final answer
    x = 64,080.41

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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.