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Finding the Fourth Proportional to 54,967.50, 75,855.56 and 29,817

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Solution

The fourth proportional to 54,967.50, 75,855.56 and 29,817 is: 41,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967.50 : 75,855.56 = 29,817 : x
  2. Step 2: Convert to fraction form
    54,967.50/75,855.56 = 29,817/x
  3. Step 3: Cross multiply
    54,967.50x = 75,855.56 × 29,817
  4. Step 4: Simplify right side
    54,967.50x = 2,261,785,083.44
  5. Step 5: Solve for x
    x = 2,261,785,083.44/54,967.50
  6. Step 6: Final answer
    x = 41,147.68

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1.5x scale

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.