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Finding the Fourth Proportional to 78,052.50, 117,074.61 and 21,896.51

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Solution

The fourth proportional to 78,052.50, 117,074.61 and 21,896.51 is: 32,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,052.50 : 117,074.61 = 21,896.51 : x
  2. Step 2: Convert to fraction form
    78,052.50/117,074.61 = 21,896.51/x
  3. Step 3: Cross multiply
    78,052.50x = 117,074.61 × 21,896.51
  4. Step 4: Simplify right side
    78,052.50x = 2,563,524,783.24
  5. Step 5: Solve for x
    x = 2,563,524,783.24/78,052.50
  6. Step 6: Final answer
    x = 32,843.60

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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.