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Finding the Fourth Proportional to 100,423.56, 138,584.58 and 55,711.56

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Solution

The fourth proportional to 100,423.56, 138,584.58 and 55,711.56 is: 76,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,423.56 : 138,584.58 = 55,711.56 : x
  2. Step 2: Convert to fraction form
    100,423.56/138,584.58 = 55,711.56/x
  3. Step 3: Cross multiply
    100,423.56x = 138,584.58 × 55,711.56
  4. Step 4: Simplify right side
    100,423.56x = 7,720,763,143.74
  5. Step 5: Solve for x
    x = 7,720,763,143.74/100,423.56
  6. Step 6: Final answer
    x = 76,881.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.