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Finding the Fourth Proportional to 78,528.72, 117,812.52 and 36,966

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Solution

The fourth proportional to 78,528.72, 117,812.52 and 36,966 is: 55,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,528.72 : 117,812.52 = 36,966 : x
  2. Step 2: Convert to fraction form
    78,528.72/117,812.52 = 36,966/x
  3. Step 3: Cross multiply
    78,528.72x = 117,812.52 × 36,966
  4. Step 4: Simplify right side
    78,528.72x = 4,355,057,614.32
  5. Step 5: Solve for x
    x = 4,355,057,614.32/78,528.72
  6. Step 6: Final answer
    x = 55,458.15

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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.