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Finding the Fourth Proportional to 54,498.20, 75,209.74 and 30,624.80

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Solution

The fourth proportional to 54,498.20, 75,209.74 and 30,624.80 is: 42,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498.20 : 75,209.74 = 30,624.80 : x
  2. Step 2: Convert to fraction form
    54,498.20/75,209.74 = 30,624.80/x
  3. Step 3: Cross multiply
    54,498.20x = 75,209.74 × 30,624.80
  4. Step 4: Simplify right side
    54,498.20x = 2,303,283,245.55
  5. Step 5: Solve for x
    x = 2,303,283,245.55/54,498.20
  6. Step 6: Final answer
    x = 42,263.47

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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.