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Finding the Fourth Proportional to 52,800, 79,158.72 and 27,807.36

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Solution

The fourth proportional to 52,800, 79,158.72 and 27,807.36 is: 41,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,800 : 79,158.72 = 27,807.36 : x
  2. Step 2: Convert to fraction form
    52,800/79,158.72 = 27,807.36/x
  3. Step 3: Cross multiply
    52,800x = 79,158.72 × 27,807.36
  4. Step 4: Simplify right side
    52,800x = 2,201,195,024.18
  5. Step 5: Solve for x
    x = 2,201,195,024.18/52,800
  6. Step 6: Final answer
    x = 41,689.30

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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.