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Finding the Fourth Proportional to 54,697.80, 81,975.60 and 24,690

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Solution

The fourth proportional to 54,697.80, 81,975.60 and 24,690 is: 37,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.80 : 81,975.60 = 24,690 : x
  2. Step 2: Convert to fraction form
    54,697.80/81,975.60 = 24,690/x
  3. Step 3: Cross multiply
    54,697.80x = 81,975.60 × 24,690
  4. Step 4: Simplify right side
    54,697.80x = 2,023,977,564.00
  5. Step 5: Solve for x
    x = 2,023,977,564.00/54,697.80
  6. Step 6: Final answer
    x = 37,002.91

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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.