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Finding the Fourth Proportional to 52,010.25, 78,017.60 and 20,427.16

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Solution

The fourth proportional to 52,010.25, 78,017.60 and 20,427.16 is: 30,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010.25 : 78,017.60 = 20,427.16 : x
  2. Step 2: Convert to fraction form
    52,010.25/78,017.60 = 20,427.16/x
  3. Step 3: Cross multiply
    52,010.25x = 78,017.60 × 20,427.16
  4. Step 4: Simplify right side
    52,010.25x = 1,593,677,998.02
  5. Step 5: Solve for x
    x = 1,593,677,998.02/52,010.25
  6. Step 6: Final answer
    x = 30,641.61

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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.