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Finding the Fourth Proportional to 87,150.36, 130,730.43 and 24,816

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Solution

The fourth proportional to 87,150.36, 130,730.43 and 24,816 is: 37,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,150.36 : 130,730.43 = 24,816 : x
  2. Step 2: Convert to fraction form
    87,150.36/130,730.43 = 24,816/x
  3. Step 3: Cross multiply
    87,150.36x = 130,730.43 × 24,816
  4. Step 4: Simplify right side
    87,150.36x = 3,244,206,350.88
  5. Step 5: Solve for x
    x = 3,244,206,350.88/87,150.36
  6. Step 6: Final answer
    x = 37,225.39

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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.