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Finding the Fourth Proportional to 54,622.87, 75,376.70 and 30,748.75

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Solution

The fourth proportional to 54,622.87, 75,376.70 and 30,748.75 is: 42,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,622.87 : 75,376.70 = 30,748.75 : x
  2. Step 2: Convert to fraction form
    54,622.87/75,376.70 = 30,748.75/x
  3. Step 3: Cross multiply
    54,622.87x = 75,376.70 × 30,748.75
  4. Step 4: Simplify right side
    54,622.87x = 2,317,739,150.38
  5. Step 5: Solve for x
    x = 2,317,739,150.38/54,622.87
  6. Step 6: Final answer
    x = 42,431.66

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Why These Related Problems?

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