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Finding the Fourth Proportional to 52,119.40, 78,202.14 and 21,015.40

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Solution

The fourth proportional to 52,119.40, 78,202.14 and 21,015.40 is: 31,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,119.40 : 78,202.14 = 21,015.40 : x
  2. Step 2: Convert to fraction form
    52,119.40/78,202.14 = 21,015.40/x
  3. Step 3: Cross multiply
    52,119.40x = 78,202.14 × 21,015.40
  4. Step 4: Simplify right side
    52,119.40x = 1,643,449,252.96
  5. Step 5: Solve for x
    x = 1,643,449,252.96/52,119.40
  6. Step 6: Final answer
    x = 31,532.39

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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.