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Finding the Fourth Proportional to 55,898.54, 83,837.11 and 21,704.32

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Solution

The fourth proportional to 55,898.54, 83,837.11 and 21,704.32 is: 32,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,898.54 : 83,837.11 = 21,704.32 : x
  2. Step 2: Convert to fraction form
    55,898.54/83,837.11 = 21,704.32/x
  3. Step 3: Cross multiply
    55,898.54x = 83,837.11 × 21,704.32
  4. Step 4: Simplify right side
    55,898.54x = 1,819,626,989.87
  5. Step 5: Solve for x
    x = 1,819,626,989.87/55,898.54
  6. Step 6: Final answer
    x = 32,552.32

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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.