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Finding the Fourth Proportional to 73,711.40, 110,453.70 and 54,903.20

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Solution

The fourth proportional to 73,711.40, 110,453.70 and 54,903.20 is: 82,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,711.40 : 110,453.70 = 54,903.20 : x
  2. Step 2: Convert to fraction form
    73,711.40/110,453.70 = 54,903.20/x
  3. Step 3: Cross multiply
    73,711.40x = 110,453.70 × 54,903.20
  4. Step 4: Simplify right side
    73,711.40x = 6,064,261,581.84
  5. Step 5: Solve for x
    x = 6,064,261,581.84/73,711.40
  6. Step 6: Final answer
    x = 82,270.34

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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.