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Finding the Fourth Proportional to 78,326, 108,089.16 and 42,517.16

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Solution

The fourth proportional to 78,326, 108,089.16 and 42,517.16 is: 58,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,326 : 108,089.16 = 42,517.16 : x
  2. Step 2: Convert to fraction form
    78,326/108,089.16 = 42,517.16/x
  3. Step 3: Cross multiply
    78,326x = 108,089.16 × 42,517.16
  4. Step 4: Simplify right side
    78,326x = 4,595,644,109.99
  5. Step 5: Solve for x
    x = 4,595,644,109.99/78,326
  6. Step 6: Final answer
    x = 58,673.29

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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.