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Finding the Fourth Proportional to 78,015.90, 117,007.65 and 33,644.10

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Solution

The fourth proportional to 78,015.90, 117,007.65 and 33,644.10 is: 50,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.90 : 117,007.65 = 33,644.10 : x
  2. Step 2: Convert to fraction form
    78,015.90/117,007.65 = 33,644.10/x
  3. Step 3: Cross multiply
    78,015.90x = 117,007.65 × 33,644.10
  4. Step 4: Simplify right side
    78,015.90x = 3,936,617,077.37
  5. Step 5: Solve for x
    x = 3,936,617,077.37/78,015.90
  6. Step 6: Final answer
    x = 50,459.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.