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Finding the Fourth Proportional to 55,261, 82,889.34 and 15,816.52

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Solution

The fourth proportional to 55,261, 82,889.34 and 15,816.52 is: 23,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,261 : 82,889.34 = 15,816.52 : x
  2. Step 2: Convert to fraction form
    55,261/82,889.34 = 15,816.52/x
  3. Step 3: Cross multiply
    55,261x = 82,889.34 × 15,816.52
  4. Step 4: Simplify right side
    55,261x = 1,311,020,903.90
  5. Step 5: Solve for x
    x = 1,311,020,903.90/55,261
  6. Step 6: Final answer
    x = 23,724.16

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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.