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Finding the Fourth Proportional to 110,688, 166,057.92 and 36,816

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Solution

The fourth proportional to 110,688, 166,057.92 and 36,816 is: 55,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,688 : 166,057.92 = 36,816 : x
  2. Step 2: Convert to fraction form
    110,688/166,057.92 = 36,816/x
  3. Step 3: Cross multiply
    110,688x = 166,057.92 × 36,816
  4. Step 4: Simplify right side
    110,688x = 6,113,588,382.72
  5. Step 5: Solve for x
    x = 6,113,588,382.72/110,688
  6. Step 6: Final answer
    x = 55,232.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.