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Finding the Fourth Proportional to 55,254.60, 82,881.90 and 20,219.40

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Solution

The fourth proportional to 55,254.60, 82,881.90 and 20,219.40 is: 30,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,254.60 : 82,881.90 = 20,219.40 : x
  2. Step 2: Convert to fraction form
    55,254.60/82,881.90 = 20,219.40/x
  3. Step 3: Cross multiply
    55,254.60x = 82,881.90 × 20,219.40
  4. Step 4: Simplify right side
    55,254.60x = 1,675,822,288.86
  5. Step 5: Solve for x
    x = 1,675,822,288.86/55,254.60
  6. Step 6: Final answer
    x = 30,329.10

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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.